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Finding the Third Proportional to 601,837 and 934,892

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Solution

The third proportional to 601,837 and 934,892 is: 1,452,258.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,837 : 934,892 = 934,892 : x
  2. Step 2: Convert to fraction form
    601,837/934,892 = 934,892/x
  3. Step 3: Cross multiply
    601,837x = 934,892 × 934,892
  4. Step 4: Simplify right side
    601,837x = 874,023,051,664
  5. Step 5: Solve for x
    x = 874,023,051,664/601,837
  6. Step 6: Final answer
    x = 1,452,258.75

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.