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Finding the Third Proportional to 1,257,788.25 and 2,715,808.50

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Solution

The third proportional to 1,257,788.25 and 2,715,808.50 is: 5,863,956.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,257,788.25 : 2,715,808.50 = 2,715,808.50 : x
  2. Step 2: Convert to fraction form
    1,257,788.25/2,715,808.50 = 2,715,808.50/x
  3. Step 3: Cross multiply
    1,257,788.25x = 2,715,808.50 × 2,715,808.50
  4. Step 4: Simplify right side
    1,257,788.25x = 7,375,615,808,672.25
  5. Step 5: Solve for x
    x = 7,375,615,808,672.25/1,257,788.25
  6. Step 6: Final answer
    x = 5,863,956.68

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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.