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Finding the Third Proportional to 971,226 and 1,523,560.50

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Solution

The third proportional to 971,226 and 1,523,560.50 is: 2,390,006.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    971,226 : 1,523,560.50 = 1,523,560.50 : x
  2. Step 2: Convert to fraction form
    971,226/1,523,560.50 = 1,523,560.50/x
  3. Step 3: Cross multiply
    971,226x = 1,523,560.50 × 1,523,560.50
  4. Step 4: Simplify right side
    971,226x = 2,321,236,597,160.25
  5. Step 5: Solve for x
    x = 2,321,236,597,160.25/971,226
  6. Step 6: Final answer
    x = 2,390,006.65

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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.