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Finding the Third Proportional to 608,919 and 927,741.75

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Solution

The third proportional to 608,919 and 927,741.75 is: 1,413,496.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    608,919 : 927,741.75 = 927,741.75 : x
  2. Step 2: Convert to fraction form
    608,919/927,741.75 = 927,741.75/x
  3. Step 3: Cross multiply
    608,919x = 927,741.75 × 927,741.75
  4. Step 4: Simplify right side
    608,919x = 860,704,754,693.06
  5. Step 5: Solve for x
    x = 860,704,754,693.06/608,919
  6. Step 6: Final answer
    x = 1,413,496.30

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.