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Finding the Third Proportional to 665,304 and 1,463,340

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Solution

The third proportional to 665,304 and 1,463,340 is: 3,218,624.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,304 : 1,463,340 = 1,463,340 : x
  2. Step 2: Convert to fraction form
    665,304/1,463,340 = 1,463,340/x
  3. Step 3: Cross multiply
    665,304x = 1,463,340 × 1,463,340
  4. Step 4: Simplify right side
    665,304x = 2,141,363,955,600
  5. Step 5: Solve for x
    x = 2,141,363,955,600/665,304
  6. Step 6: Final answer
    x = 3,218,624.80

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.