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Finding the Third Proportional to 681,776 and 1,487,968

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Solution

The third proportional to 681,776 and 1,487,968 is: 3,247,472.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,776 : 1,487,968 = 1,487,968 : x
  2. Step 2: Convert to fraction form
    681,776/1,487,968 = 1,487,968/x
  3. Step 3: Cross multiply
    681,776x = 1,487,968 × 1,487,968
  4. Step 4: Simplify right side
    681,776x = 2,214,048,769,024
  5. Step 5: Solve for x
    x = 2,214,048,769,024/681,776
  6. Step 6: Final answer
    x = 3,247,472.44

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.