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Finding the Third Proportional to 971,227 and 1,523,562

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Solution

The third proportional to 971,227 and 1,523,562 is: 2,390,008.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    971,227 : 1,523,562 = 1,523,562 : x
  2. Step 2: Convert to fraction form
    971,227/1,523,562 = 1,523,562/x
  3. Step 3: Cross multiply
    971,227x = 1,523,562 × 1,523,562
  4. Step 4: Simplify right side
    971,227x = 2,321,241,167,844
  5. Step 5: Solve for x
    x = 2,321,241,167,844/971,227
  6. Step 6: Final answer
    x = 2,390,008.89

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