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Finding the Third Proportional to 2,357,288 and 5,146,376

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Solution

The third proportional to 2,357,288 and 5,146,376 is: 11,235,447.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,357,288 : 5,146,376 = 5,146,376 : x
  2. Step 2: Convert to fraction form
    2,357,288/5,146,376 = 5,146,376/x
  3. Step 3: Cross multiply
    2,357,288x = 5,146,376 × 5,146,376
  4. Step 4: Simplify right side
    2,357,288x = 26,485,185,933,376
  5. Step 5: Solve for x
    x = 26,485,185,933,376/2,357,288
  6. Step 6: Final answer
    x = 11,235,447.66

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.