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Finding the Third Proportional to 1,058,872.50 and 2,174,037.47

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Solution

The third proportional to 1,058,872.50 and 2,174,037.47 is: 4,463,652.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,058,872.50 : 2,174,037.47 = 2,174,037.47 : x
  2. Step 2: Convert to fraction form
    1,058,872.50/2,174,037.47 = 2,174,037.47/x
  3. Step 3: Cross multiply
    1,058,872.50x = 2,174,037.47 × 2,174,037.47
  4. Step 4: Simplify right side
    1,058,872.50x = 4,726,438,915,528.91
  5. Step 5: Solve for x
    x = 4,726,438,915,528.91/1,058,872.50
  6. Step 6: Final answer
    x = 4,463,652.53

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.