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Finding the Third Proportional to 475,416 and 1,011,888

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Solution

The third proportional to 475,416 and 1,011,888 is: 2,153,729.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,416 : 1,011,888 = 1,011,888 : x
  2. Step 2: Convert to fraction form
    475,416/1,011,888 = 1,011,888/x
  3. Step 3: Cross multiply
    475,416x = 1,011,888 × 1,011,888
  4. Step 4: Simplify right side
    475,416x = 1,023,917,324,544
  5. Step 5: Solve for x
    x = 1,023,917,324,544/475,416
  6. Step 6: Final answer
    x = 2,153,729.21

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.