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Finding the Third Proportional to 2,243,464 and 4,867,468

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Solution

The third proportional to 2,243,464 and 4,867,468 is: 10,560,563.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,243,464 : 4,867,468 = 4,867,468 : x
  2. Step 2: Convert to fraction form
    2,243,464/4,867,468 = 4,867,468/x
  3. Step 3: Cross multiply
    2,243,464x = 4,867,468 × 4,867,468
  4. Step 4: Simplify right side
    2,243,464x = 23,692,244,731,024
  5. Step 5: Solve for x
    x = 23,692,244,731,024/2,243,464
  6. Step 6: Final answer
    x = 10,560,563.81

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.