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Finding the Third Proportional to 716,758.88 and 1,539,766.13

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Solution

The third proportional to 716,758.88 and 1,539,766.13 is: 3,307,778.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    716,758.88 : 1,539,766.13 = 1,539,766.13 : x
  2. Step 2: Convert to fraction form
    716,758.88/1,539,766.13 = 1,539,766.13/x
  3. Step 3: Cross multiply
    716,758.88x = 1,539,766.13 × 1,539,766.13
  4. Step 4: Simplify right side
    716,758.88x = 2,370,879,719,697.52
  5. Step 5: Solve for x
    x = 2,370,879,719,697.52/716,758.88
  6. Step 6: Final answer
    x = 3,307,778.67

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.