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Finding the Third Proportional to 743,045 and 1,180,863

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Solution

The third proportional to 743,045 and 1,180,863 is: 1,876,652.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    743,045 : 1,180,863 = 1,180,863 : x
  2. Step 2: Convert to fraction form
    743,045/1,180,863 = 1,180,863/x
  3. Step 3: Cross multiply
    743,045x = 1,180,863 × 1,180,863
  4. Step 4: Simplify right side
    743,045x = 1,394,437,424,769
  5. Step 5: Solve for x
    x = 1,394,437,424,769/743,045
  6. Step 6: Final answer
    x = 1,876,652.73

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.