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Finding the Third Proportional to 542,869.59 and 1,072,114.73

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Solution

The third proportional to 542,869.59 and 1,072,114.73 is: 2,117,322.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,869.59 : 1,072,114.73 = 1,072,114.73 : x
  2. Step 2: Convert to fraction form
    542,869.59/1,072,114.73 = 1,072,114.73/x
  3. Step 3: Cross multiply
    542,869.59x = 1,072,114.73 × 1,072,114.73
  4. Step 4: Simplify right side
    542,869.59x = 1,149,430,003,663.98
  5. Step 5: Solve for x
    x = 1,149,430,003,663.98/542,869.59
  6. Step 6: Final answer
    x = 2,117,322.50

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.