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Finding the Third Proportional to 905,202 and 1,884,780

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Solution

The third proportional to 905,202 and 1,884,780 is: 3,924,423.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    905,202 : 1,884,780 = 1,884,780 : x
  2. Step 2: Convert to fraction form
    905,202/1,884,780 = 1,884,780/x
  3. Step 3: Cross multiply
    905,202x = 1,884,780 × 1,884,780
  4. Step 4: Simplify right side
    905,202x = 3,552,395,648,400
  5. Step 5: Solve for x
    x = 3,552,395,648,400/905,202
  6. Step 6: Final answer
    x = 3,924,423.11

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.