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Finding the Third Proportional to 425,808 and 927,216

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Solution

The third proportional to 425,808 and 927,216 is: 2,019,054.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,808 : 927,216 = 927,216 : x
  2. Step 2: Convert to fraction form
    425,808/927,216 = 927,216/x
  3. Step 3: Cross multiply
    425,808x = 927,216 × 927,216
  4. Step 4: Simplify right side
    425,808x = 859,729,510,656
  5. Step 5: Solve for x
    x = 859,729,510,656/425,808
  6. Step 6: Final answer
    x = 2,019,054.39

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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.