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Finding the Third Proportional to 712,687 and 1,584,742

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Solution

The third proportional to 712,687 and 1,584,742 is: 3,523,857.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,687 : 1,584,742 = 1,584,742 : x
  2. Step 2: Convert to fraction form
    712,687/1,584,742 = 1,584,742/x
  3. Step 3: Cross multiply
    712,687x = 1,584,742 × 1,584,742
  4. Step 4: Simplify right side
    712,687x = 2,511,407,206,564
  5. Step 5: Solve for x
    x = 2,511,407,206,564/712,687
  6. Step 6: Final answer
    x = 3,523,857.19

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.