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Finding the Third Proportional to 686,522 and 1,487,412

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Solution

The third proportional to 686,522 and 1,487,412 is: 3,222,612.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,522 : 1,487,412 = 1,487,412 : x
  2. Step 2: Convert to fraction form
    686,522/1,487,412 = 1,487,412/x
  3. Step 3: Cross multiply
    686,522x = 1,487,412 × 1,487,412
  4. Step 4: Simplify right side
    686,522x = 2,212,394,457,744
  5. Step 5: Solve for x
    x = 2,212,394,457,744/686,522
  6. Step 6: Final answer
    x = 3,222,612.62

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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.