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Finding the Third Proportional to 738,664 and 1,587,674

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Solution

The third proportional to 738,664 and 1,587,674 is: 3,412,524.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    738,664 : 1,587,674 = 1,587,674 : x
  2. Step 2: Convert to fraction form
    738,664/1,587,674 = 1,587,674/x
  3. Step 3: Cross multiply
    738,664x = 1,587,674 × 1,587,674
  4. Step 4: Simplify right side
    738,664x = 2,520,708,730,276
  5. Step 5: Solve for x
    x = 2,520,708,730,276/738,664
  6. Step 6: Final answer
    x = 3,412,524.14

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.