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Finding the Third Proportional to 715,916 and 1,543,927

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Solution

The third proportional to 715,916 and 1,543,927 is: 3,329,595.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    715,916 : 1,543,927 = 1,543,927 : x
  2. Step 2: Convert to fraction form
    715,916/1,543,927 = 1,543,927/x
  3. Step 3: Cross multiply
    715,916x = 1,543,927 × 1,543,927
  4. Step 4: Simplify right side
    715,916x = 2,383,710,581,329
  5. Step 5: Solve for x
    x = 2,383,710,581,329/715,916
  6. Step 6: Final answer
    x = 3,329,595.35

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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.