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Finding the Third Proportional to 716,986 and 1,560,416

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Solution

The third proportional to 716,986 and 1,560,416 is: 3,396,019.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    716,986 : 1,560,416 = 1,560,416 : x
  2. Step 2: Convert to fraction form
    716,986/1,560,416 = 1,560,416/x
  3. Step 3: Cross multiply
    716,986x = 1,560,416 × 1,560,416
  4. Step 4: Simplify right side
    716,986x = 2,434,898,093,056
  5. Step 5: Solve for x
    x = 2,434,898,093,056/716,986
  6. Step 6: Final answer
    x = 3,396,019.02

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.