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Finding the Third Proportional to 715,416 and 1,555,078

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Solution

The third proportional to 715,416 and 1,555,078 is: 3,380,225.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    715,416 : 1,555,078 = 1,555,078 : x
  2. Step 2: Convert to fraction form
    715,416/1,555,078 = 1,555,078/x
  3. Step 3: Cross multiply
    715,416x = 1,555,078 × 1,555,078
  4. Step 4: Simplify right side
    715,416x = 2,418,267,586,084
  5. Step 5: Solve for x
    x = 2,418,267,586,084/715,416
  6. Step 6: Final answer
    x = 3,380,225.75

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.