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Finding the Third Proportional to 434,071 and 934,811

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Solution

The third proportional to 434,071 and 934,811 is: 2,013,199.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,071 : 934,811 = 934,811 : x
  2. Step 2: Convert to fraction form
    434,071/934,811 = 934,811/x
  3. Step 3: Cross multiply
    434,071x = 934,811 × 934,811
  4. Step 4: Simplify right side
    434,071x = 873,871,605,721
  5. Step 5: Solve for x
    x = 873,871,605,721/434,071
  6. Step 6: Final answer
    x = 2,013,199.70

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.