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Finding the Third Proportional to 871,305.19 and 1,897,625.81

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Solution

The third proportional to 871,305.19 and 1,897,625.81 is: 4,132,861.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    871,305.19 : 1,897,625.81 = 1,897,625.81 : x
  2. Step 2: Convert to fraction form
    871,305.19/1,897,625.81 = 1,897,625.81/x
  3. Step 3: Cross multiply
    871,305.19x = 1,897,625.81 × 1,897,625.81
  4. Step 4: Simplify right side
    871,305.19x = 3,600,983,724,266.29
  5. Step 5: Solve for x
    x = 3,600,983,724,266.29/871,305.19
  6. Step 6: Final answer
    x = 4,132,861.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.