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Finding the Third Proportional to 866,464 and 1,339,032

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Solution

The third proportional to 866,464 and 1,339,032 is: 2,069,337.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    866,464 : 1,339,032 = 1,339,032 : x
  2. Step 2: Convert to fraction form
    866,464/1,339,032 = 1,339,032/x
  3. Step 3: Cross multiply
    866,464x = 1,339,032 × 1,339,032
  4. Step 4: Simplify right side
    866,464x = 1,793,006,697,024
  5. Step 5: Solve for x
    x = 1,793,006,697,024/866,464
  6. Step 6: Final answer
    x = 2,069,337.79

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.