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Finding the Third Proportional to 617,598 and 927,882

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Solution

The third proportional to 617,598 and 927,882 is: 1,394,054.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,598 : 927,882 = 927,882 : x
  2. Step 2: Convert to fraction form
    617,598/927,882 = 927,882/x
  3. Step 3: Cross multiply
    617,598x = 927,882 × 927,882
  4. Step 4: Simplify right side
    617,598x = 860,965,005,924
  5. Step 5: Solve for x
    x = 860,965,005,924/617,598
  6. Step 6: Final answer
    x = 1,394,054.07

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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.