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Finding the Third Proportional to 1,032,264 and 2,428,997.63

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Solution

The third proportional to 1,032,264 and 2,428,997.63 is: 5,715,620.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032,264 : 2,428,997.63 = 2,428,997.63 : x
  2. Step 2: Convert to fraction form
    1,032,264/2,428,997.63 = 2,428,997.63/x
  3. Step 3: Cross multiply
    1,032,264x = 2,428,997.63 × 2,428,997.63
  4. Step 4: Simplify right side
    1,032,264x = 5,900,029,462,255.64
  5. Step 5: Solve for x
    x = 5,900,029,462,255.64/1,032,264
  6. Step 6: Final answer
    x = 5,715,620.68

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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.