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Finding the Third Proportional to 871,175 and 1,868,461

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Solution

The third proportional to 871,175 and 1,868,461 is: 4,007,399.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    871,175 : 1,868,461 = 1,868,461 : x
  2. Step 2: Convert to fraction form
    871,175/1,868,461 = 1,868,461/x
  3. Step 3: Cross multiply
    871,175x = 1,868,461 × 1,868,461
  4. Step 4: Simplify right side
    871,175x = 3,491,146,508,521
  5. Step 5: Solve for x
    x = 3,491,146,508,521/871,175
  6. Step 6: Final answer
    x = 4,007,399.79

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.