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Finding the Third Proportional to 748,153 and 1,160,825

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Solution

The third proportional to 748,153 and 1,160,825 is: 1,801,121.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    748,153 : 1,160,825 = 1,160,825 : x
  2. Step 2: Convert to fraction form
    748,153/1,160,825 = 1,160,825/x
  3. Step 3: Cross multiply
    748,153x = 1,160,825 × 1,160,825
  4. Step 4: Simplify right side
    748,153x = 1,347,514,680,625
  5. Step 5: Solve for x
    x = 1,347,514,680,625/748,153
  6. Step 6: Final answer
    x = 1,801,121.80

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.