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Finding the Third Proportional to 720,583,446 and 1,573,296,681

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Solution

The third proportional to 720,583,446 and 1,573,296,681 is: 3,435,080,919.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    720,583,446 : 1,573,296,681 = 1,573,296,681 : x
  2. Step 2: Convert to fraction form
    720,583,446/1,573,296,681 = 1,573,296,681/x
  3. Step 3: Cross multiply
    720,583,446x = 1,573,296,681 × 1,573,296,681
  4. Step 4: Simplify right side
    720,583,446x = 2,475,262,446,445,615,616
  5. Step 5: Solve for x
    x = 2,475,262,446,445,615,616/720,583,446
  6. Step 6: Final answer
    x = 3,435,080,919.75

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.