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Finding the Third Proportional to 718,569 and 1,569,382

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Solution

The third proportional to 718,569 and 1,569,382 is: 3,427,589.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    718,569 : 1,569,382 = 1,569,382 : x
  2. Step 2: Convert to fraction form
    718,569/1,569,382 = 1,569,382/x
  3. Step 3: Cross multiply
    718,569x = 1,569,382 × 1,569,382
  4. Step 4: Simplify right side
    718,569x = 2,462,959,861,924
  5. Step 5: Solve for x
    x = 2,462,959,861,924/718,569
  6. Step 6: Final answer
    x = 3,427,589.92

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.