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Finding the Third Proportional to 697,275 and 1,511,919

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Solution

The third proportional to 697,275 and 1,511,919 is: 3,278,332.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    697,275 : 1,511,919 = 1,511,919 : x
  2. Step 2: Convert to fraction form
    697,275/1,511,919 = 1,511,919/x
  3. Step 3: Cross multiply
    697,275x = 1,511,919 × 1,511,919
  4. Step 4: Simplify right side
    697,275x = 2,285,899,062,561
  5. Step 5: Solve for x
    x = 2,285,899,062,561/697,275
  6. Step 6: Final answer
    x = 3,278,332.17

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.