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Finding the Third Proportional to 791,977.50 and 1,226,877

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Solution

The third proportional to 791,977.50 and 1,226,877 is: 1,900,593.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    791,977.50 : 1,226,877 = 1,226,877 : x
  2. Step 2: Convert to fraction form
    791,977.50/1,226,877 = 1,226,877/x
  3. Step 3: Cross multiply
    791,977.50x = 1,226,877 × 1,226,877
  4. Step 4: Simplify right side
    791,977.50x = 1,505,227,173,129
  5. Step 5: Solve for x
    x = 1,505,227,173,129/791,977.50
  6. Step 6: Final answer
    x = 1,900,593.35

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.