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Finding the Third Proportional to 472,698 and 1,011,843

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Solution

The third proportional to 472,698 and 1,011,843 is: 2,165,920.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,698 : 1,011,843 = 1,011,843 : x
  2. Step 2: Convert to fraction form
    472,698/1,011,843 = 1,011,843/x
  3. Step 3: Cross multiply
    472,698x = 1,011,843 × 1,011,843
  4. Step 4: Simplify right side
    472,698x = 1,023,826,256,649
  5. Step 5: Solve for x
    x = 1,023,826,256,649/472,698
  6. Step 6: Final answer
    x = 2,165,920.43

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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.