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Finding the Third Proportional to 1,156,437 and 1,695,174.75

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Solution

The third proportional to 1,156,437 and 1,695,174.75 is: 2,484,888.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,156,437 : 1,695,174.75 = 1,695,174.75 : x
  2. Step 2: Convert to fraction form
    1,156,437/1,695,174.75 = 1,695,174.75/x
  3. Step 3: Cross multiply
    1,156,437x = 1,695,174.75 × 1,695,174.75
  4. Step 4: Simplify right side
    1,156,437x = 2,873,617,433,037.56
  5. Step 5: Solve for x
    x = 2,873,617,433,037.56/1,156,437
  6. Step 6: Final answer
    x = 2,484,888.87

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.