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Finding the Third Proportional to 971,311.50 and 1,456,965

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Solution

The third proportional to 971,311.50 and 1,456,965 is: 2,185,444.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    971,311.50 : 1,456,965 = 1,456,965 : x
  2. Step 2: Convert to fraction form
    971,311.50/1,456,965 = 1,456,965/x
  3. Step 3: Cross multiply
    971,311.50x = 1,456,965 × 1,456,965
  4. Step 4: Simplify right side
    971,311.50x = 2,122,747,011,225
  5. Step 5: Solve for x
    x = 2,122,747,011,225/971,311.50
  6. Step 6: Final answer
    x = 2,185,444.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.