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Finding the Third Proportional to 671,715 and 1,007,157

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Solution

The third proportional to 671,715 and 1,007,157 is: 1,510,112.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    671,715 : 1,007,157 = 1,007,157 : x
  2. Step 2: Convert to fraction form
    671,715/1,007,157 = 1,007,157/x
  3. Step 3: Cross multiply
    671,715x = 1,007,157 × 1,007,157
  4. Step 4: Simplify right side
    671,715x = 1,014,365,222,649
  5. Step 5: Solve for x
    x = 1,014,365,222,649/671,715
  6. Step 6: Final answer
    x = 1,510,112.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.