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Finding the Third Proportional to 869,569 and 1,143,478

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Solution

The third proportional to 869,569 and 1,143,478 is: 1,503,666.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    869,569 : 1,143,478 = 1,143,478 : x
  2. Step 2: Convert to fraction form
    869,569/1,143,478 = 1,143,478/x
  3. Step 3: Cross multiply
    869,569x = 1,143,478 × 1,143,478
  4. Step 4: Simplify right side
    869,569x = 1,307,541,936,484
  5. Step 5: Solve for x
    x = 1,307,541,936,484/869,569
  6. Step 6: Final answer
    x = 1,503,666.69

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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.