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Finding the Third Proportional to 434,099 and 901,462

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Solution

The third proportional to 434,099 and 901,462 is: 1,872,000.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,099 : 901,462 = 901,462 : x
  2. Step 2: Convert to fraction form
    434,099/901,462 = 901,462/x
  3. Step 3: Cross multiply
    434,099x = 901,462 × 901,462
  4. Step 4: Simplify right side
    434,099x = 812,633,737,444
  5. Step 5: Solve for x
    x = 812,633,737,444/434,099
  6. Step 6: Final answer
    x = 1,872,000.94

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.