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Finding the Third Proportional to 704,847 and 1,134,910.50

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Solution

The third proportional to 704,847 and 1,134,910.50 is: 1,827,377.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,847 : 1,134,910.50 = 1,134,910.50 : x
  2. Step 2: Convert to fraction form
    704,847/1,134,910.50 = 1,134,910.50/x
  3. Step 3: Cross multiply
    704,847x = 1,134,910.50 × 1,134,910.50
  4. Step 4: Simplify right side
    704,847x = 1,288,021,843,010.25
  5. Step 5: Solve for x
    x = 1,288,021,843,010.25/704,847
  6. Step 6: Final answer
    x = 1,827,377.92

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.