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Finding the Third Proportional to 2,174,880 and 5,117,538

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Solution

The third proportional to 2,174,880 and 5,117,538 is: 12,041,673.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,174,880 : 5,117,538 = 5,117,538 : x
  2. Step 2: Convert to fraction form
    2,174,880/5,117,538 = 5,117,538/x
  3. Step 3: Cross multiply
    2,174,880x = 5,117,538 × 5,117,538
  4. Step 4: Simplify right side
    2,174,880x = 26,189,195,181,444
  5. Step 5: Solve for x
    x = 26,189,195,181,444/2,174,880
  6. Step 6: Final answer
    x = 12,041,673.65

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.