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Finding the Third Proportional to 472,165.88 and 1,019,719.13

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Solution

The third proportional to 472,165.88 and 1,019,719.13 is: 2,202,249.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,165.88 : 1,019,719.13 = 1,019,719.13 : x
  2. Step 2: Convert to fraction form
    472,165.88/1,019,719.13 = 1,019,719.13/x
  3. Step 3: Cross multiply
    472,165.88x = 1,019,719.13 × 1,019,719.13
  4. Step 4: Simplify right side
    472,165.88x = 1,039,827,093,890.77
  5. Step 5: Solve for x
    x = 1,039,827,093,890.77/472,165.88
  6. Step 6: Final answer
    x = 2,202,249.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.