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Finding the Third Proportional to 1,032,469.03 and 2,231,005.78

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Solution

The third proportional to 1,032,469.03 and 2,231,005.78 is: 4,820,858.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032,469.03 : 2,231,005.78 = 2,231,005.78 : x
  2. Step 2: Convert to fraction form
    1,032,469.03/2,231,005.78 = 2,231,005.78/x
  3. Step 3: Cross multiply
    1,032,469.03x = 2,231,005.78 × 2,231,005.78
  4. Step 4: Simplify right side
    1,032,469.03x = 4,977,386,795,970.92
  5. Step 5: Solve for x
    x = 4,977,386,795,970.92/1,032,469.03
  6. Step 6: Final answer
    x = 4,820,858.20

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Why These Related Problems?

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