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Finding the Third Proportional to 743,044.50 and 1,180,862.25

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Solution

The third proportional to 743,044.50 and 1,180,862.25 is: 1,876,651.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    743,044.50 : 1,180,862.25 = 1,180,862.25 : x
  2. Step 2: Convert to fraction form
    743,044.50/1,180,862.25 = 1,180,862.25/x
  3. Step 3: Cross multiply
    743,044.50x = 1,180,862.25 × 1,180,862.25
  4. Step 4: Simplify right side
    743,044.50x = 1,394,435,653,475.06
  5. Step 5: Solve for x
    x = 1,394,435,653,475.06/743,044.50
  6. Step 6: Final answer
    x = 1,876,651.60

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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.