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Finding the Third Proportional to 715,689 and 1,543,473

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Solution

The third proportional to 715,689 and 1,543,473 is: 3,328,692.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    715,689 : 1,543,473 = 1,543,473 : x
  2. Step 2: Convert to fraction form
    715,689/1,543,473 = 1,543,473/x
  3. Step 3: Cross multiply
    715,689x = 1,543,473 × 1,543,473
  4. Step 4: Simplify right side
    715,689x = 2,382,308,901,729
  5. Step 5: Solve for x
    x = 2,382,308,901,729/715,689
  6. Step 6: Final answer
    x = 3,328,692.91

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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.