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Finding the Third Proportional to 434,700 and 933,669

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Solution

The third proportional to 434,700 and 933,669 is: 2,005,377.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,700 : 933,669 = 933,669 : x
  2. Step 2: Convert to fraction form
    434,700/933,669 = 933,669/x
  3. Step 3: Cross multiply
    434,700x = 933,669 × 933,669
  4. Step 4: Simplify right side
    434,700x = 871,737,801,561
  5. Step 5: Solve for x
    x = 871,737,801,561/434,700
  6. Step 6: Final answer
    x = 2,005,377.97

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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.