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Finding the Third Proportional to 687,017 and 1,513,516

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Solution

The third proportional to 687,017 and 1,513,516 is: 3,334,314.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,017 : 1,513,516 = 1,513,516 : x
  2. Step 2: Convert to fraction form
    687,017/1,513,516 = 1,513,516/x
  3. Step 3: Cross multiply
    687,017x = 1,513,516 × 1,513,516
  4. Step 4: Simplify right side
    687,017x = 2,290,730,682,256
  5. Step 5: Solve for x
    x = 2,290,730,682,256/687,017
  6. Step 6: Final answer
    x = 3,334,314.41

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.