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Finding the Third Proportional to 597,042 and 1,261,471.50

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Solution

The third proportional to 597,042 and 1,261,471.50 is: 2,665,323.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,042 : 1,261,471.50 = 1,261,471.50 : x
  2. Step 2: Convert to fraction form
    597,042/1,261,471.50 = 1,261,471.50/x
  3. Step 3: Cross multiply
    597,042x = 1,261,471.50 × 1,261,471.50
  4. Step 4: Simplify right side
    597,042x = 1,591,310,345,312.25
  5. Step 5: Solve for x
    x = 1,591,310,345,312.25/597,042
  6. Step 6: Final answer
    x = 2,665,323.96

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.