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Finding the Third Proportional to 898,269.75 and 1,356,760.13

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Solution

The third proportional to 898,269.75 and 1,356,760.13 is: 2,049,270.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    898,269.75 : 1,356,760.13 = 1,356,760.13 : x
  2. Step 2: Convert to fraction form
    898,269.75/1,356,760.13 = 1,356,760.13/x
  3. Step 3: Cross multiply
    898,269.75x = 1,356,760.13 × 1,356,760.13
  4. Step 4: Simplify right side
    898,269.75x = 1,840,798,036,790.02
  5. Step 5: Solve for x
    x = 1,840,798,036,790.02/898,269.75
  6. Step 6: Final answer
    x = 2,049,270.88

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.