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Finding the Third Proportional to 428,142 and 927,600

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Solution

The third proportional to 428,142 and 927,600 is: 2,009,711.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,142 : 927,600 = 927,600 : x
  2. Step 2: Convert to fraction form
    428,142/927,600 = 927,600/x
  3. Step 3: Cross multiply
    428,142x = 927,600 × 927,600
  4. Step 4: Simplify right side
    428,142x = 860,441,760,000
  5. Step 5: Solve for x
    x = 860,441,760,000/428,142
  6. Step 6: Final answer
    x = 2,009,711.17

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.