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Finding the Third Proportional to 681,374.50 and 1,497,079.50

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Solution

The third proportional to 681,374.50 and 1,497,079.50 is: 3,289,302.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,374.50 : 1,497,079.50 = 1,497,079.50 : x
  2. Step 2: Convert to fraction form
    681,374.50/1,497,079.50 = 1,497,079.50/x
  3. Step 3: Cross multiply
    681,374.50x = 1,497,079.50 × 1,497,079.50
  4. Step 4: Simplify right side
    681,374.50x = 2,241,247,029,320.25
  5. Step 5: Solve for x
    x = 2,241,247,029,320.25/681,374.50
  6. Step 6: Final answer
    x = 3,289,302.77

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.