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Finding the Third Proportional to 426,854.81 and 914,227.88

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Solution

The third proportional to 426,854.81 and 914,227.88 is: 1,958,072.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,854.81 : 914,227.88 = 914,227.88 : x
  2. Step 2: Convert to fraction form
    426,854.81/914,227.88 = 914,227.88/x
  3. Step 3: Cross multiply
    426,854.81x = 914,227.88 × 914,227.88
  4. Step 4: Simplify right side
    426,854.81x = 835,812,607,427.02
  5. Step 5: Solve for x
    x = 835,812,607,427.02/426,854.81
  6. Step 6: Final answer
    x = 1,958,072.35

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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.