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Finding the Third Proportional to 472,839.75 and 1,026,055.13

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Solution

The third proportional to 472,839.75 and 1,026,055.13 is: 2,226,524.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,839.75 : 1,026,055.13 = 1,026,055.13 : x
  2. Step 2: Convert to fraction form
    472,839.75/1,026,055.13 = 1,026,055.13/x
  3. Step 3: Cross multiply
    472,839.75x = 1,026,055.13 × 1,026,055.13
  4. Step 4: Simplify right side
    472,839.75x = 1,052,789,119,538.77
  5. Step 5: Solve for x
    x = 1,052,789,119,538.77/472,839.75
  6. Step 6: Final answer
    x = 2,226,524.14

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.