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Finding the Third Proportional to 971,189.25 and 1,523,512.50

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Solution

The third proportional to 971,189.25 and 1,523,512.50 is: 2,389,946.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    971,189.25 : 1,523,512.50 = 1,523,512.50 : x
  2. Step 2: Convert to fraction form
    971,189.25/1,523,512.50 = 1,523,512.50/x
  3. Step 3: Cross multiply
    971,189.25x = 1,523,512.50 × 1,523,512.50
  4. Step 4: Simplify right side
    971,189.25x = 2,321,090,337,656.25
  5. Step 5: Solve for x
    x = 2,321,090,337,656.25/971,189.25
  6. Step 6: Final answer
    x = 2,389,946.49

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.