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Finding the Third Proportional to 2,217,024 and 4,765,536

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Solution

The third proportional to 2,217,024 and 4,765,536 is: 10,243,611.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,217,024 : 4,765,536 = 4,765,536 : x
  2. Step 2: Convert to fraction form
    2,217,024/4,765,536 = 4,765,536/x
  3. Step 3: Cross multiply
    2,217,024x = 4,765,536 × 4,765,536
  4. Step 4: Simplify right side
    2,217,024x = 22,710,333,367,296
  5. Step 5: Solve for x
    x = 22,710,333,367,296/2,217,024
  6. Step 6: Final answer
    x = 10,243,611.87

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.