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Finding the Third Proportional to 428,368 and 890,432

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Solution

The third proportional to 428,368 and 890,432 is: 1,850,906.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,368 : 890,432 = 890,432 : x
  2. Step 2: Convert to fraction form
    428,368/890,432 = 890,432/x
  3. Step 3: Cross multiply
    428,368x = 890,432 × 890,432
  4. Step 4: Simplify right side
    428,368x = 792,869,146,624
  5. Step 5: Solve for x
    x = 792,869,146,624/428,368
  6. Step 6: Final answer
    x = 1,850,906.57

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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.