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Finding the Third Proportional to 706,432 and 1,513,872

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Solution

The third proportional to 706,432 and 1,513,872 is: 3,244,202.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,432 : 1,513,872 = 1,513,872 : x
  2. Step 2: Convert to fraction form
    706,432/1,513,872 = 1,513,872/x
  3. Step 3: Cross multiply
    706,432x = 1,513,872 × 1,513,872
  4. Step 4: Simplify right side
    706,432x = 2,291,808,432,384
  5. Step 5: Solve for x
    x = 2,291,808,432,384/706,432
  6. Step 6: Final answer
    x = 3,244,202.46

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.