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Finding the Third Proportional to 1,472,256 and 3,176,496

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Solution

The third proportional to 1,472,256 and 3,176,496 is: 6,853,513.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,472,256 : 3,176,496 = 3,176,496 : x
  2. Step 2: Convert to fraction form
    1,472,256/3,176,496 = 3,176,496/x
  3. Step 3: Cross multiply
    1,472,256x = 3,176,496 × 3,176,496
  4. Step 4: Simplify right side
    1,472,256x = 10,090,126,838,016
  5. Step 5: Solve for x
    x = 10,090,126,838,016/1,472,256
  6. Step 6: Final answer
    x = 6,853,513.82

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.