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Finding the Third Proportional to 2,287,294 and 4,972,945

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Solution

The third proportional to 2,287,294 and 4,972,945 is: 10,811,982.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,287,294 : 4,972,945 = 4,972,945 : x
  2. Step 2: Convert to fraction form
    2,287,294/4,972,945 = 4,972,945/x
  3. Step 3: Cross multiply
    2,287,294x = 4,972,945 × 4,972,945
  4. Step 4: Simplify right side
    2,287,294x = 24,730,181,973,025
  5. Step 5: Solve for x
    x = 24,730,181,973,025/2,287,294
  6. Step 6: Final answer
    x = 10,811,982.18

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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.