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Finding the Third Proportional to 1,642,135.78 and 2,614,972.36

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Solution

The third proportional to 1,642,135.78 and 2,614,972.36 is: 4,164,138.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,642,135.78 : 2,614,972.36 = 2,614,972.36 : x
  2. Step 2: Convert to fraction form
    1,642,135.78/2,614,972.36 = 2,614,972.36/x
  3. Step 3: Cross multiply
    1,642,135.78x = 2,614,972.36 × 2,614,972.36
  4. Step 4: Simplify right side
    1,642,135.78x = 6,838,080,440,295.25
  5. Step 5: Solve for x
    x = 6,838,080,440,295.25/1,642,135.78
  6. Step 6: Final answer
    x = 4,164,138.26

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.