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Finding the Third Proportional to 971,188.50 and 1,523,511

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Solution

The third proportional to 971,188.50 and 1,523,511 is: 2,389,943.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    971,188.50 : 1,523,511 = 1,523,511 : x
  2. Step 2: Convert to fraction form
    971,188.50/1,523,511 = 1,523,511/x
  3. Step 3: Cross multiply
    971,188.50x = 1,523,511 × 1,523,511
  4. Step 4: Simplify right side
    971,188.50x = 2,321,085,767,121
  5. Step 5: Solve for x
    x = 2,321,085,767,121/971,188.50
  6. Step 6: Final answer
    x = 2,389,943.63

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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.