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Finding the Third Proportional to 892,589 and 1,359,798

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Solution

The third proportional to 892,589 and 1,359,798 is: 2,071,558.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    892,589 : 1,359,798 = 1,359,798 : x
  2. Step 2: Convert to fraction form
    892,589/1,359,798 = 1,359,798/x
  3. Step 3: Cross multiply
    892,589x = 1,359,798 × 1,359,798
  4. Step 4: Simplify right side
    892,589x = 1,849,050,600,804
  5. Step 5: Solve for x
    x = 1,849,050,600,804/892,589
  6. Step 6: Final answer
    x = 2,071,558.80

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