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Finding the Third Proportional to 2,431,319 and 5,290,747

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Solution

The third proportional to 2,431,319 and 5,290,747 is: 11,513,093.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,431,319 : 5,290,747 = 5,290,747 : x
  2. Step 2: Convert to fraction form
    2,431,319/5,290,747 = 5,290,747/x
  3. Step 3: Cross multiply
    2,431,319x = 5,290,747 × 5,290,747
  4. Step 4: Simplify right side
    2,431,319x = 27,992,003,818,009
  5. Step 5: Solve for x
    x = 27,992,003,818,009/2,431,319
  6. Step 6: Final answer
    x = 11,513,093.85

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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.