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Finding the Third Proportional to 508,102.31 and 1,104,778.13

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Solution

The third proportional to 508,102.31 and 1,104,778.13 is: 2,402,143.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,102.31 : 1,104,778.13 = 1,104,778.13 : x
  2. Step 2: Convert to fraction form
    508,102.31/1,104,778.13 = 1,104,778.13/x
  3. Step 3: Cross multiply
    508,102.31x = 1,104,778.13 × 1,104,778.13
  4. Step 4: Simplify right side
    508,102.31x = 1,220,534,705,478.52
  5. Step 5: Solve for x
    x = 1,220,534,705,478.52/508,102.31
  6. Step 6: Final answer
    x = 2,402,143.58

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.