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Finding the Third Proportional to 474,895.13 and 1,016,218.13

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Solution

The third proportional to 474,895.13 and 1,016,218.13 is: 2,174,583.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,895.13 : 1,016,218.13 = 1,016,218.13 : x
  2. Step 2: Convert to fraction form
    474,895.13/1,016,218.13 = 1,016,218.13/x
  3. Step 3: Cross multiply
    474,895.13x = 1,016,218.13 × 1,016,218.13
  4. Step 4: Simplify right side
    474,895.13x = 1,032,699,277,578.52
  5. Step 5: Solve for x
    x = 1,032,699,277,578.52/474,895.13
  6. Step 6: Final answer
    x = 2,174,583.87

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.