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Finding the Third Proportional to 1,142,365.78 and 2,432,764.13

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Solution

The third proportional to 1,142,365.78 and 2,432,764.13 is: 5,180,776.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142,365.78 : 2,432,764.13 = 2,432,764.13 : x
  2. Step 2: Convert to fraction form
    1,142,365.78/2,432,764.13 = 2,432,764.13/x
  3. Step 3: Cross multiply
    1,142,365.78x = 2,432,764.13 × 2,432,764.13
  4. Step 4: Simplify right side
    1,142,365.78x = 5,918,341,287,887.02
  5. Step 5: Solve for x
    x = 5,918,341,287,887.02/1,142,365.78
  6. Step 6: Final answer
    x = 5,180,776.06

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.