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Finding the Third Proportional to 758,626.84 and 1,625,462.12

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Solution

The third proportional to 758,626.84 and 1,625,462.12 is: 3,482,775.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    758,626.84 : 1,625,462.12 = 1,625,462.12 : x
  2. Step 2: Convert to fraction form
    758,626.84/1,625,462.12 = 1,625,462.12/x
  3. Step 3: Cross multiply
    758,626.84x = 1,625,462.12 × 1,625,462.12
  4. Step 4: Simplify right side
    758,626.84x = 2,642,127,107,110.76
  5. Step 5: Solve for x
    x = 2,642,127,107,110.76/758,626.84
  6. Step 6: Final answer
    x = 3,482,775.69

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.