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Finding the Third Proportional to 2,005,888 and 4,177,664

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Solution

The third proportional to 2,005,888 and 4,177,664 is: 8,700,823.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,005,888 : 4,177,664 = 4,177,664 : x
  2. Step 2: Convert to fraction form
    2,005,888/4,177,664 = 4,177,664/x
  3. Step 3: Cross multiply
    2,005,888x = 4,177,664 × 4,177,664
  4. Step 4: Simplify right side
    2,005,888x = 17,452,876,496,896
  5. Step 5: Solve for x
    x = 17,452,876,496,896/2,005,888
  6. Step 6: Final answer
    x = 8,700,823.03

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.