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Finding the Third Proportional to 715,674 and 1,543,440

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Solution

The third proportional to 715,674 and 1,543,440 is: 3,328,620.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    715,674 : 1,543,440 = 1,543,440 : x
  2. Step 2: Convert to fraction form
    715,674/1,543,440 = 1,543,440/x
  3. Step 3: Cross multiply
    715,674x = 1,543,440 × 1,543,440
  4. Step 4: Simplify right side
    715,674x = 2,382,207,033,600
  5. Step 5: Solve for x
    x = 2,382,207,033,600/715,674
  6. Step 6: Final answer
    x = 3,328,620.34

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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.