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Finding the Third Proportional to 434,706 and 933,681

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Solution

The third proportional to 434,706 and 933,681 is: 2,005,401.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,706 : 933,681 = 933,681 : x
  2. Step 2: Convert to fraction form
    434,706/933,681 = 933,681/x
  3. Step 3: Cross multiply
    434,706x = 933,681 × 933,681
  4. Step 4: Simplify right side
    434,706x = 871,760,209,761
  5. Step 5: Solve for x
    x = 871,760,209,761/434,706
  6. Step 6: Final answer
    x = 2,005,401.83

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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.