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Finding the Third Proportional to 716,780 and 1,539,800

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Solution

The third proportional to 716,780 and 1,539,800 is: 3,307,826.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    716,780 : 1,539,800 = 1,539,800 : x
  2. Step 2: Convert to fraction form
    716,780/1,539,800 = 1,539,800/x
  3. Step 3: Cross multiply
    716,780x = 1,539,800 × 1,539,800
  4. Step 4: Simplify right side
    716,780x = 2,370,984,040,000
  5. Step 5: Solve for x
    x = 2,370,984,040,000/716,780
  6. Step 6: Final answer
    x = 3,307,826.73

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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.