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Finding the Third Proportional to 425,827 and 927,254

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Solution

The third proportional to 425,827 and 927,254 is: 2,019,129.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,827 : 927,254 = 927,254 : x
  2. Step 2: Convert to fraction form
    425,827/927,254 = 927,254/x
  3. Step 3: Cross multiply
    425,827x = 927,254 × 927,254
  4. Step 4: Simplify right side
    425,827x = 859,799,980,516
  5. Step 5: Solve for x
    x = 859,799,980,516/425,827
  6. Step 6: Final answer
    x = 2,019,129.79

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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.