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Finding the Third Proportional to 664,728 and 1,442,208

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Solution

The third proportional to 664,728 and 1,442,208 is: 3,129,045.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,728 : 1,442,208 = 1,442,208 : x
  2. Step 2: Convert to fraction form
    664,728/1,442,208 = 1,442,208/x
  3. Step 3: Cross multiply
    664,728x = 1,442,208 × 1,442,208
  4. Step 4: Simplify right side
    664,728x = 2,079,963,915,264
  5. Step 5: Solve for x
    x = 2,079,963,915,264/664,728
  6. Step 6: Final answer
    x = 3,129,045.14

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.