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Finding the Third Proportional to 871,076 and 1,306,614

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Solution

The third proportional to 871,076 and 1,306,614 is: 1,959,921

Step by Step Solution

  1. Step 1: Write the proportion equation
    871,076 : 1,306,614 = 1,306,614 : x
  2. Step 2: Convert to fraction form
    871,076/1,306,614 = 1,306,614/x
  3. Step 3: Cross multiply
    871,076x = 1,306,614 × 1,306,614
  4. Step 4: Simplify right side
    871,076x = 1,707,240,144,996
  5. Step 5: Solve for x
    x = 1,707,240,144,996/871,076
  6. Step 6: Final answer
    x = 1,959,921

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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.