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Finding the Third Proportional to 685,845 and 1,018,832

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Solution

The third proportional to 685,845 and 1,018,832 is: 1,513,488.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,845 : 1,018,832 = 1,018,832 : x
  2. Step 2: Convert to fraction form
    685,845/1,018,832 = 1,018,832/x
  3. Step 3: Cross multiply
    685,845x = 1,018,832 × 1,018,832
  4. Step 4: Simplify right side
    685,845x = 1,038,018,644,224
  5. Step 5: Solve for x
    x = 1,038,018,644,224/685,845
  6. Step 6: Final answer
    x = 1,513,488.68

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.