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Finding the Third Proportional to 715,796 and 1,543,674

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Solution

The third proportional to 715,796 and 1,543,674 is: 3,329,062.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    715,796 : 1,543,674 = 1,543,674 : x
  2. Step 2: Convert to fraction form
    715,796/1,543,674 = 1,543,674/x
  3. Step 3: Cross multiply
    715,796x = 1,543,674 × 1,543,674
  4. Step 4: Simplify right side
    715,796x = 2,382,929,418,276
  5. Step 5: Solve for x
    x = 2,382,929,418,276/715,796
  6. Step 6: Final answer
    x = 3,329,062.22

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.