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Finding the Third Proportional to 713,716 and 1,569,376

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Solution

The third proportional to 713,716 and 1,569,376 is: 3,450,869.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,716 : 1,569,376 = 1,569,376 : x
  2. Step 2: Convert to fraction form
    713,716/1,569,376 = 1,569,376/x
  3. Step 3: Cross multiply
    713,716x = 1,569,376 × 1,569,376
  4. Step 4: Simplify right side
    713,716x = 2,462,941,029,376
  5. Step 5: Solve for x
    x = 2,462,941,029,376/713,716
  6. Step 6: Final answer
    x = 3,450,869.85

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.