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Finding the Third Proportional to 563,367 and 1,206,888

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Solution

The third proportional to 563,367 and 1,206,888 is: 2,585,488.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,367 : 1,206,888 = 1,206,888 : x
  2. Step 2: Convert to fraction form
    563,367/1,206,888 = 1,206,888/x
  3. Step 3: Cross multiply
    563,367x = 1,206,888 × 1,206,888
  4. Step 4: Simplify right side
    563,367x = 1,456,578,644,544
  5. Step 5: Solve for x
    x = 1,456,578,644,544/563,367
  6. Step 6: Final answer
    x = 2,585,488.05

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.