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Finding the Third Proportional to 649,732 and 999,968

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Solution

The third proportional to 649,732 and 999,968 is: 1,538,997.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,732 : 999,968 = 999,968 : x
  2. Step 2: Convert to fraction form
    649,732/999,968 = 999,968/x
  3. Step 3: Cross multiply
    649,732x = 999,968 × 999,968
  4. Step 4: Simplify right side
    649,732x = 999,936,001,024
  5. Step 5: Solve for x
    x = 999,936,001,024/649,732
  6. Step 6: Final answer
    x = 1,538,997.62

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.