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Finding the Third Proportional to 787,077 and 1,149,633

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Solution

The third proportional to 787,077 and 1,149,633 is: 1,679,195.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    787,077 : 1,149,633 = 1,149,633 : x
  2. Step 2: Convert to fraction form
    787,077/1,149,633 = 1,149,633/x
  3. Step 3: Cross multiply
    787,077x = 1,149,633 × 1,149,633
  4. Step 4: Simplify right side
    787,077x = 1,321,656,034,689
  5. Step 5: Solve for x
    x = 1,321,656,034,689/787,077
  6. Step 6: Final answer
    x = 1,679,195.35

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.