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Finding the Third Proportional to 1,071,781.50 and 1,658,811

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Solution

The third proportional to 1,071,781.50 and 1,658,811 is: 2,567,364.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071,781.50 : 1,658,811 = 1,658,811 : x
  2. Step 2: Convert to fraction form
    1,071,781.50/1,658,811 = 1,658,811/x
  3. Step 3: Cross multiply
    1,071,781.50x = 1,658,811 × 1,658,811
  4. Step 4: Simplify right side
    1,071,781.50x = 2,751,653,933,721
  5. Step 5: Solve for x
    x = 2,751,653,933,721/1,071,781.50
  6. Step 6: Final answer
    x = 2,567,364.65

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.