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Finding the Third Proportional to 680,986 and 1,030,948

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Solution

The third proportional to 680,986 and 1,030,948 is: 1,560,757.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,986 : 1,030,948 = 1,030,948 : x
  2. Step 2: Convert to fraction form
    680,986/1,030,948 = 1,030,948/x
  3. Step 3: Cross multiply
    680,986x = 1,030,948 × 1,030,948
  4. Step 4: Simplify right side
    680,986x = 1,062,853,778,704
  5. Step 5: Solve for x
    x = 1,062,853,778,704/680,986
  6. Step 6: Final answer
    x = 1,560,757.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.