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Finding the Third Proportional to 715,686 and 1,543,466

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Solution

The third proportional to 715,686 and 1,543,466 is: 3,328,676.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    715,686 : 1,543,466 = 1,543,466 : x
  2. Step 2: Convert to fraction form
    715,686/1,543,466 = 1,543,466/x
  3. Step 3: Cross multiply
    715,686x = 1,543,466 × 1,543,466
  4. Step 4: Simplify right side
    715,686x = 2,382,287,293,156
  5. Step 5: Solve for x
    x = 2,382,287,293,156/715,686
  6. Step 6: Final answer
    x = 3,328,676.67

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