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Finding the Third Proportional to 649,038 and 968,157

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Solution

The third proportional to 649,038 and 968,157 is: 1,444,180.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,038 : 968,157 = 968,157 : x
  2. Step 2: Convert to fraction form
    649,038/968,157 = 968,157/x
  3. Step 3: Cross multiply
    649,038x = 968,157 × 968,157
  4. Step 4: Simplify right side
    649,038x = 937,327,976,649
  5. Step 5: Solve for x
    x = 937,327,976,649/649,038
  6. Step 6: Final answer
    x = 1,444,180.43

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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.