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Finding the Third Proportional to 685,847 and 1,018,835

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Solution

The third proportional to 685,847 and 1,018,835 is: 1,513,493.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,847 : 1,018,835 = 1,018,835 : x
  2. Step 2: Convert to fraction form
    685,847/1,018,835 = 1,018,835/x
  3. Step 3: Cross multiply
    685,847x = 1,018,835 × 1,018,835
  4. Step 4: Simplify right side
    685,847x = 1,038,024,757,225
  5. Step 5: Solve for x
    x = 1,038,024,757,225/685,847
  6. Step 6: Final answer
    x = 1,513,493.18

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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.