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Finding the Third Proportional to 551,499 and 884,837

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Solution

The third proportional to 551,499 and 884,837 is: 1,419,651.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,499 : 884,837 = 884,837 : x
  2. Step 2: Convert to fraction form
    551,499/884,837 = 884,837/x
  3. Step 3: Cross multiply
    551,499x = 884,837 × 884,837
  4. Step 4: Simplify right side
    551,499x = 782,936,516,569
  5. Step 5: Solve for x
    x = 782,936,516,569/551,499
  6. Step 6: Final answer
    x = 1,419,651.74

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.