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Finding the Third Proportional to 746,694 and 1,148,376

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Solution

The third proportional to 746,694 and 1,148,376 is: 1,766,141.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    746,694 : 1,148,376 = 1,148,376 : x
  2. Step 2: Convert to fraction form
    746,694/1,148,376 = 1,148,376/x
  3. Step 3: Cross multiply
    746,694x = 1,148,376 × 1,148,376
  4. Step 4: Simplify right side
    746,694x = 1,318,767,437,376
  5. Step 5: Solve for x
    x = 1,318,767,437,376/746,694
  6. Step 6: Final answer
    x = 1,766,141.74

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.