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Finding the Third Proportional to 2,072,714 and 4,499,466

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Solution

The third proportional to 2,072,714 and 4,499,466 is: 9,767,480.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,072,714 : 4,499,466 = 4,499,466 : x
  2. Step 2: Convert to fraction form
    2,072,714/4,499,466 = 4,499,466/x
  3. Step 3: Cross multiply
    2,072,714x = 4,499,466 × 4,499,466
  4. Step 4: Simplify right side
    2,072,714x = 20,245,194,285,156
  5. Step 5: Solve for x
    x = 20,245,194,285,156/2,072,714
  6. Step 6: Final answer
    x = 9,767,480.84

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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.