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Finding the Third Proportional to 2,366,427 and 5,180,643

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Solution

The third proportional to 2,366,427 and 5,180,643 is: 11,341,597.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,366,427 : 5,180,643 = 5,180,643 : x
  2. Step 2: Convert to fraction form
    2,366,427/5,180,643 = 5,180,643/x
  3. Step 3: Cross multiply
    2,366,427x = 5,180,643 × 5,180,643
  4. Step 4: Simplify right side
    2,366,427x = 26,839,061,893,449
  5. Step 5: Solve for x
    x = 26,839,061,893,449/2,366,427
  6. Step 6: Final answer
    x = 11,341,597.22

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.