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Finding the Third Proportional to 671,710 and 1,007,150

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Solution

The third proportional to 671,710 and 1,007,150 is: 1,510,102.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    671,710 : 1,007,150 = 1,007,150 : x
  2. Step 2: Convert to fraction form
    671,710/1,007,150 = 1,007,150/x
  3. Step 3: Cross multiply
    671,710x = 1,007,150 × 1,007,150
  4. Step 4: Simplify right side
    671,710x = 1,014,351,122,500
  5. Step 5: Solve for x
    x = 1,014,351,122,500/671,710
  6. Step 6: Final answer
    x = 1,510,102.76

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