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Finding the Third Proportional to 609,664 and 926,654

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Solution

The third proportional to 609,664 and 926,654 is: 1,408,460.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    609,664 : 926,654 = 926,654 : x
  2. Step 2: Convert to fraction form
    609,664/926,654 = 926,654/x
  3. Step 3: Cross multiply
    609,664x = 926,654 × 926,654
  4. Step 4: Simplify right side
    609,664x = 858,687,635,716
  5. Step 5: Solve for x
    x = 858,687,635,716/609,664
  6. Step 6: Final answer
    x = 1,408,460.46

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.