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Finding the Third Proportional to 426,556.13 and 928,434.66

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Solution

The third proportional to 426,556.13 and 928,434.66 is: 2,020,814.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,556.13 : 928,434.66 = 928,434.66 : x
  2. Step 2: Convert to fraction form
    426,556.13/928,434.66 = 928,434.66/x
  3. Step 3: Cross multiply
    426,556.13x = 928,434.66 × 928,434.66
  4. Step 4: Simplify right side
    426,556.13x = 861,990,910,926.06
  5. Step 5: Solve for x
    x = 861,990,910,926.06/426,556.13
  6. Step 6: Final answer
    x = 2,020,814.75

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.