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Finding the Third Proportional to 649,011 and 968,115

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Solution

The third proportional to 649,011 and 968,115 is: 1,444,115.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,011 : 968,115 = 968,115 : x
  2. Step 2: Convert to fraction form
    649,011/968,115 = 968,115/x
  3. Step 3: Cross multiply
    649,011x = 968,115 × 968,115
  4. Step 4: Simplify right side
    649,011x = 937,246,653,225
  5. Step 5: Solve for x
    x = 937,246,653,225/649,011
  6. Step 6: Final answer
    x = 1,444,115.20

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Why These Related Problems?

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