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Finding the Third Proportional to 4,205,644 and 6,301,469

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Solution

The third proportional to 4,205,644 and 6,301,469 is: 9,441,719.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,205,644 : 6,301,469 = 6,301,469 : x
  2. Step 2: Convert to fraction form
    4,205,644/6,301,469 = 6,301,469/x
  3. Step 3: Cross multiply
    4,205,644x = 6,301,469 × 6,301,469
  4. Step 4: Simplify right side
    4,205,644x = 39,708,511,557,961
  5. Step 5: Solve for x
    x = 39,708,511,557,961/4,205,644
  6. Step 6: Final answer
    x = 9,441,719.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.