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Finding the Third Proportional to 970,002 and 1,468,431

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Solution

The third proportional to 970,002 and 1,468,431 is: 2,222,974.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    970,002 : 1,468,431 = 1,468,431 : x
  2. Step 2: Convert to fraction form
    970,002/1,468,431 = 1,468,431/x
  3. Step 3: Cross multiply
    970,002x = 1,468,431 × 1,468,431
  4. Step 4: Simplify right side
    970,002x = 2,156,289,601,761
  5. Step 5: Solve for x
    x = 2,156,289,601,761/970,002
  6. Step 6: Final answer
    x = 2,222,974.39

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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.