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Finding the Third Proportional to 882,864 and 1,366,767

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Solution

The third proportional to 882,864 and 1,366,767 is: 2,115,900.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    882,864 : 1,366,767 = 1,366,767 : x
  2. Step 2: Convert to fraction form
    882,864/1,366,767 = 1,366,767/x
  3. Step 3: Cross multiply
    882,864x = 1,366,767 × 1,366,767
  4. Step 4: Simplify right side
    882,864x = 1,868,052,032,289
  5. Step 5: Solve for x
    x = 1,868,052,032,289/882,864
  6. Step 6: Final answer
    x = 2,115,900.11

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.