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Finding the Third Proportional to 1,854,849.38 and 4,026,945.38

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Solution

The third proportional to 1,854,849.38 and 4,026,945.38 is: 8,742,644.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,854,849.38 : 4,026,945.38 = 4,026,945.38 : x
  2. Step 2: Convert to fraction form
    1,854,849.38/4,026,945.38 = 4,026,945.38/x
  3. Step 3: Cross multiply
    1,854,849.38x = 4,026,945.38 × 4,026,945.38
  4. Step 4: Simplify right side
    1,854,849.38x = 16,216,289,053,233.89
  5. Step 5: Solve for x
    x = 16,216,289,053,233.89/1,854,849.38
  6. Step 6: Final answer
    x = 8,742,644.70

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.