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Finding the Third Proportional to 426,855.66 and 914,230.13

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Solution

The third proportional to 426,855.66 and 914,230.13 is: 1,958,078.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,855.66 : 914,230.13 = 914,230.13 : x
  2. Step 2: Convert to fraction form
    426,855.66/914,230.13 = 914,230.13/x
  3. Step 3: Cross multiply
    426,855.66x = 914,230.13 × 914,230.13
  4. Step 4: Simplify right side
    426,855.66x = 835,816,721,457.52
  5. Step 5: Solve for x
    x = 835,816,721,457.52/426,855.66
  6. Step 6: Final answer
    x = 1,958,078.12

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.