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Finding the Third Proportional to 664,398 and 1,417,380

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Solution

The third proportional to 664,398 and 1,417,380 is: 3,023,738.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,398 : 1,417,380 = 1,417,380 : x
  2. Step 2: Convert to fraction form
    664,398/1,417,380 = 1,417,380/x
  3. Step 3: Cross multiply
    664,398x = 1,417,380 × 1,417,380
  4. Step 4: Simplify right side
    664,398x = 2,008,966,064,400
  5. Step 5: Solve for x
    x = 2,008,966,064,400/664,398
  6. Step 6: Final answer
    x = 3,023,738.88

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.