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Finding the Third Proportional to 477,081 and 1,011,042

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Solution

The third proportional to 477,081 and 1,011,042 is: 2,142,625.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,081 : 1,011,042 = 1,011,042 : x
  2. Step 2: Convert to fraction form
    477,081/1,011,042 = 1,011,042/x
  3. Step 3: Cross multiply
    477,081x = 1,011,042 × 1,011,042
  4. Step 4: Simplify right side
    477,081x = 1,022,205,925,764
  5. Step 5: Solve for x
    x = 1,022,205,925,764/477,081
  6. Step 6: Final answer
    x = 2,142,625.52

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.