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Finding the Third Proportional to 472,177.13 and 1,011,726

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Solution

The third proportional to 472,177.13 and 1,011,726 is: 2,167,808.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,177.13 : 1,011,726 = 1,011,726 : x
  2. Step 2: Convert to fraction form
    472,177.13/1,011,726 = 1,011,726/x
  3. Step 3: Cross multiply
    472,177.13x = 1,011,726 × 1,011,726
  4. Step 4: Simplify right side
    472,177.13x = 1,023,589,499,076
  5. Step 5: Solve for x
    x = 1,023,589,499,076/472,177.13
  6. Step 6: Final answer
    x = 2,167,808.32

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