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Finding the Third Proportional to 812,160 and 1,871,808

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Solution

The third proportional to 812,160 and 1,871,808 is: 4,314,008.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    812,160 : 1,871,808 = 1,871,808 : x
  2. Step 2: Convert to fraction form
    812,160/1,871,808 = 1,871,808/x
  3. Step 3: Cross multiply
    812,160x = 1,871,808 × 1,871,808
  4. Step 4: Simplify right side
    812,160x = 3,503,665,188,864
  5. Step 5: Solve for x
    x = 3,503,665,188,864/812,160
  6. Step 6: Final answer
    x = 4,314,008.56

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.