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Finding the Third Proportional to 1,032,922.13 and 1,572,245.44

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Solution

The third proportional to 1,032,922.13 and 1,572,245.44 is: 2,393,167.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032,922.13 : 1,572,245.44 = 1,572,245.44 : x
  2. Step 2: Convert to fraction form
    1,032,922.13/1,572,245.44 = 1,572,245.44/x
  3. Step 3: Cross multiply
    1,032,922.13x = 1,572,245.44 × 1,572,245.44
  4. Step 4: Simplify right side
    1,032,922.13x = 2,471,955,715,739.57
  5. Step 5: Solve for x
    x = 2,471,955,715,739.57/1,032,922.13
  6. Step 6: Final answer
    x = 2,393,167.55

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.