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Finding the Third Proportional to 746,397 and 1,599,282

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Solution

The third proportional to 746,397 and 1,599,282 is: 3,426,732.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    746,397 : 1,599,282 = 1,599,282 : x
  2. Step 2: Convert to fraction form
    746,397/1,599,282 = 1,599,282/x
  3. Step 3: Cross multiply
    746,397x = 1,599,282 × 1,599,282
  4. Step 4: Simplify right side
    746,397x = 2,557,702,915,524
  5. Step 5: Solve for x
    x = 2,557,702,915,524/746,397
  6. Step 6: Final answer
    x = 3,426,732.58

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.