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Finding the Third Proportional to 715,713 and 1,543,521

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Solution

The third proportional to 715,713 and 1,543,521 is: 3,328,788.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    715,713 : 1,543,521 = 1,543,521 : x
  2. Step 2: Convert to fraction form
    715,713/1,543,521 = 1,543,521/x
  3. Step 3: Cross multiply
    715,713x = 1,543,521 × 1,543,521
  4. Step 4: Simplify right side
    715,713x = 2,382,457,077,441
  5. Step 5: Solve for x
    x = 2,382,457,077,441/715,713
  6. Step 6: Final answer
    x = 3,328,788.32

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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.