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Finding the Third Proportional to 828,483,672.23 and 1,241,513,604.28

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Solution

The third proportional to 828,483,672.23 and 1,241,513,604.28 is: 1,860,454,323.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    828,483,672.23 : 1,241,513,604.28 = 1,241,513,604.28 : x
  2. Step 2: Convert to fraction form
    828,483,672.23/1,241,513,604.28 = 1,241,513,604.28/x
  3. Step 3: Cross multiply
    828,483,672.23x = 1,241,513,604.28 × 1,241,513,604.28
  4. Step 4: Simplify right side
    828,483,672.23x = 1,541,356,029,615,296,000
  5. Step 5: Solve for x
    x = 1,541,356,029,615,296,000/828,483,672.23
  6. Step 6: Final answer
    x = 1,860,454,323.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.