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Finding the Third Proportional to 1,109,777.20 and 2,384,765.93

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Solution

The third proportional to 1,109,777.20 and 2,384,765.93 is: 5,124,549.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109,777.20 : 2,384,765.93 = 2,384,765.93 : x
  2. Step 2: Convert to fraction form
    1,109,777.20/2,384,765.93 = 2,384,765.93/x
  3. Step 3: Cross multiply
    1,109,777.20x = 2,384,765.93 × 2,384,765.93
  4. Step 4: Simplify right side
    1,109,777.20x = 5,687,108,539,398.29
  5. Step 5: Solve for x
    x = 5,687,108,539,398.29/1,109,777.20
  6. Step 6: Final answer
    x = 5,124,549.80

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.