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Finding the Third Proportional to 463,125.94 and 1,013,731.88

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Solution

The third proportional to 463,125.94 and 1,013,731.88 is: 2,218,947.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,125.94 : 1,013,731.88 = 1,013,731.88 : x
  2. Step 2: Convert to fraction form
    463,125.94/1,013,731.88 = 1,013,731.88/x
  3. Step 3: Cross multiply
    463,125.94x = 1,013,731.88 × 1,013,731.88
  4. Step 4: Simplify right side
    463,125.94x = 1,027,652,314,391.02
  5. Step 5: Solve for x
    x = 1,027,652,314,391.02/463,125.94
  6. Step 6: Final answer
    x = 2,218,947.87

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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.