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Finding the Third Proportional to 885,771 and 1,328,415.75

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Solution

The third proportional to 885,771 and 1,328,415.75 is: 1,992,262.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    885,771 : 1,328,415.75 = 1,328,415.75 : x
  2. Step 2: Convert to fraction form
    885,771/1,328,415.75 = 1,328,415.75/x
  3. Step 3: Cross multiply
    885,771x = 1,328,415.75 × 1,328,415.75
  4. Step 4: Simplify right side
    885,771x = 1,764,688,404,848.06
  5. Step 5: Solve for x
    x = 1,764,688,404,848.06/885,771
  6. Step 6: Final answer
    x = 1,992,262.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.