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Finding the Third Proportional to 423,082 and 929,877

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Solution

The third proportional to 423,082 and 929,877 is: 2,043,743.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,082 : 929,877 = 929,877 : x
  2. Step 2: Convert to fraction form
    423,082/929,877 = 929,877/x
  3. Step 3: Cross multiply
    423,082x = 929,877 × 929,877
  4. Step 4: Simplify right side
    423,082x = 864,671,235,129
  5. Step 5: Solve for x
    x = 864,671,235,129/423,082
  6. Step 6: Final answer
    x = 2,043,743.85

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.