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Finding the Third Proportional to 4,039,146 and 6,208,002

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Solution

The third proportional to 4,039,146 and 6,208,002 is: 9,541,444.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,039,146 : 6,208,002 = 6,208,002 : x
  2. Step 2: Convert to fraction form
    4,039,146/6,208,002 = 6,208,002/x
  3. Step 3: Cross multiply
    4,039,146x = 6,208,002 × 6,208,002
  4. Step 4: Simplify right side
    4,039,146x = 38,539,288,832,004
  5. Step 5: Solve for x
    x = 38,539,288,832,004/4,039,146
  6. Step 6: Final answer
    x = 9,541,444.86

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.