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Finding the Third Proportional to 869,620 and 1,300,432

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Solution

The third proportional to 869,620 and 1,300,432 is: 1,944,669.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    869,620 : 1,300,432 = 1,300,432 : x
  2. Step 2: Convert to fraction form
    869,620/1,300,432 = 1,300,432/x
  3. Step 3: Cross multiply
    869,620x = 1,300,432 × 1,300,432
  4. Step 4: Simplify right side
    869,620x = 1,691,123,386,624
  5. Step 5: Solve for x
    x = 1,691,123,386,624/869,620
  6. Step 6: Final answer
    x = 1,944,669.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.