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Finding the Third Proportional to 1,024,541.16 and 2,248,372.69

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Solution

The third proportional to 1,024,541.16 and 2,248,372.69 is: 4,934,091.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024,541.16 : 2,248,372.69 = 2,248,372.69 : x
  2. Step 2: Convert to fraction form
    1,024,541.16/2,248,372.69 = 2,248,372.69/x
  3. Step 3: Cross multiply
    1,024,541.16x = 2,248,372.69 × 2,248,372.69
  4. Step 4: Simplify right side
    1,024,541.16x = 5,055,179,741,895.97
  5. Step 5: Solve for x
    x = 5,055,179,741,895.97/1,024,541.16
  6. Step 6: Final answer
    x = 4,934,091.43

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.