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Finding the Third Proportional to 640,272 and 1,398,624

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Solution

The third proportional to 640,272 and 1,398,624 is: 3,055,184.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,272 : 1,398,624 = 1,398,624 : x
  2. Step 2: Convert to fraction form
    640,272/1,398,624 = 1,398,624/x
  3. Step 3: Cross multiply
    640,272x = 1,398,624 × 1,398,624
  4. Step 4: Simplify right side
    640,272x = 1,956,149,093,376
  5. Step 5: Solve for x
    x = 1,956,149,093,376/640,272
  6. Step 6: Final answer
    x = 3,055,184.50

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.