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Finding the Third Proportional to 426,913.03 and 914,355.84

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Solution

The third proportional to 426,913.03 and 914,355.84 is: 1,958,353.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,913.03 : 914,355.84 = 914,355.84 : x
  2. Step 2: Convert to fraction form
    426,913.03/914,355.84 = 914,355.84/x
  3. Step 3: Cross multiply
    426,913.03x = 914,355.84 × 914,355.84
  4. Step 4: Simplify right side
    426,913.03x = 836,046,608,999.77
  5. Step 5: Solve for x
    x = 836,046,608,999.77/426,913.03
  6. Step 6: Final answer
    x = 1,958,353.45

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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.