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Finding the Third Proportional to 4,385,999 and 6,578,999

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Solution

The third proportional to 4,385,999 and 6,578,999 is: 9,868,499.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,385,999 : 6,578,999 = 6,578,999 : x
  2. Step 2: Convert to fraction form
    4,385,999/6,578,999 = 6,578,999/x
  3. Step 3: Cross multiply
    4,385,999x = 6,578,999 × 6,578,999
  4. Step 4: Simplify right side
    4,385,999x = 43,283,227,842,001
  5. Step 5: Solve for x
    x = 43,283,227,842,001/4,385,999
  6. Step 6: Final answer
    x = 9,868,499.25

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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.