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Finding the Third Proportional to 637,374 and 1,376,532

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Solution

The third proportional to 637,374 and 1,376,532 is: 2,972,886.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    637,374 : 1,376,532 = 1,376,532 : x
  2. Step 2: Convert to fraction form
    637,374/1,376,532 = 1,376,532/x
  3. Step 3: Cross multiply
    637,374x = 1,376,532 × 1,376,532
  4. Step 4: Simplify right side
    637,374x = 1,894,840,347,024
  5. Step 5: Solve for x
    x = 1,894,840,347,024/637,374
  6. Step 6: Final answer
    x = 2,972,886.17

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.