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Finding the Third Proportional to 540,918 and 811,458

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Solution

The third proportional to 540,918 and 811,458 is: 1,217,308.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,918 : 811,458 = 811,458 : x
  2. Step 2: Convert to fraction form
    540,918/811,458 = 811,458/x
  3. Step 3: Cross multiply
    540,918x = 811,458 × 811,458
  4. Step 4: Simplify right side
    540,918x = 658,464,085,764
  5. Step 5: Solve for x
    x = 658,464,085,764/540,918
  6. Step 6: Final answer
    x = 1,217,308.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.