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Finding the Third Proportional to 1,032,275 and 2,428,718

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Solution

The third proportional to 1,032,275 and 2,428,718 is: 5,714,243.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032,275 : 2,428,718 = 2,428,718 : x
  2. Step 2: Convert to fraction form
    1,032,275/2,428,718 = 2,428,718/x
  3. Step 3: Cross multiply
    1,032,275x = 2,428,718 × 2,428,718
  4. Step 4: Simplify right side
    1,032,275x = 5,898,671,123,524
  5. Step 5: Solve for x
    x = 5,898,671,123,524/1,032,275
  6. Step 6: Final answer
    x = 5,714,243.90

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.