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Finding the Third Proportional to 762,407 and 1,657,613

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Solution

The third proportional to 762,407 and 1,657,613 is: 3,603,955.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    762,407 : 1,657,613 = 1,657,613 : x
  2. Step 2: Convert to fraction form
    762,407/1,657,613 = 1,657,613/x
  3. Step 3: Cross multiply
    762,407x = 1,657,613 × 1,657,613
  4. Step 4: Simplify right side
    762,407x = 2,747,680,857,769
  5. Step 5: Solve for x
    x = 2,747,680,857,769/762,407
  6. Step 6: Final answer
    x = 3,603,955.44

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.