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Finding the Third Proportional to 612,366 and 1,329,708

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Solution

The third proportional to 612,366 and 1,329,708 is: 2,887,363.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,366 : 1,329,708 = 1,329,708 : x
  2. Step 2: Convert to fraction form
    612,366/1,329,708 = 1,329,708/x
  3. Step 3: Cross multiply
    612,366x = 1,329,708 × 1,329,708
  4. Step 4: Simplify right side
    612,366x = 1,768,123,365,264
  5. Step 5: Solve for x
    x = 1,768,123,365,264/612,366
  6. Step 6: Final answer
    x = 2,887,363.71

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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.