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Finding the Third Proportional to 779,019 and 1,165,414

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Solution

The third proportional to 779,019 and 1,165,414 is: 1,743,461.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    779,019 : 1,165,414 = 1,165,414 : x
  2. Step 2: Convert to fraction form
    779,019/1,165,414 = 1,165,414/x
  3. Step 3: Cross multiply
    779,019x = 1,165,414 × 1,165,414
  4. Step 4: Simplify right side
    779,019x = 1,358,189,791,396
  5. Step 5: Solve for x
    x = 1,358,189,791,396/779,019
  6. Step 6: Final answer
    x = 1,743,461.70

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Why These Related Problems?

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