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Finding the Third Proportional to 2,175,336 and 4,665,438

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Solution

The third proportional to 2,175,336 and 4,665,438 is: 10,005,953.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,175,336 : 4,665,438 = 4,665,438 : x
  2. Step 2: Convert to fraction form
    2,175,336/4,665,438 = 4,665,438/x
  3. Step 3: Cross multiply
    2,175,336x = 4,665,438 × 4,665,438
  4. Step 4: Simplify right side
    2,175,336x = 21,766,311,731,844
  5. Step 5: Solve for x
    x = 21,766,311,731,844/2,175,336
  6. Step 6: Final answer
    x = 10,005,953.90

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.