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Finding the Third Proportional to 657,962 and 994,113

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Solution

The third proportional to 657,962 and 994,113 is: 1,502,002.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,962 : 994,113 = 994,113 : x
  2. Step 2: Convert to fraction form
    657,962/994,113 = 994,113/x
  3. Step 3: Cross multiply
    657,962x = 994,113 × 994,113
  4. Step 4: Simplify right side
    657,962x = 988,260,656,769
  5. Step 5: Solve for x
    x = 988,260,656,769/657,962
  6. Step 6: Final answer
    x = 1,502,002.63

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.