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Finding the Third Proportional to 970,015 and 1,468,441

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Solution

The third proportional to 970,015 and 1,468,441 is: 2,222,974.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    970,015 : 1,468,441 = 1,468,441 : x
  2. Step 2: Convert to fraction form
    970,015/1,468,441 = 1,468,441/x
  3. Step 3: Cross multiply
    970,015x = 1,468,441 × 1,468,441
  4. Step 4: Simplify right side
    970,015x = 2,156,318,970,481
  5. Step 5: Solve for x
    x = 2,156,318,970,481/970,015
  6. Step 6: Final answer
    x = 2,222,974.87

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.