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Finding the Third Proportional to 1,974,024 and 4,247,496

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Solution

The third proportional to 1,974,024 and 4,247,496 is: 9,139,312.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,974,024 : 4,247,496 = 4,247,496 : x
  2. Step 2: Convert to fraction form
    1,974,024/4,247,496 = 4,247,496/x
  3. Step 3: Cross multiply
    1,974,024x = 4,247,496 × 4,247,496
  4. Step 4: Simplify right side
    1,974,024x = 18,041,222,270,016
  5. Step 5: Solve for x
    x = 18,041,222,270,016/1,974,024
  6. Step 6: Final answer
    x = 9,139,312.53

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.