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Finding the Third Proportional to 423,576 and 931,392

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Solution

The third proportional to 423,576 and 931,392 is: 2,048,017.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,576 : 931,392 = 931,392 : x
  2. Step 2: Convert to fraction form
    423,576/931,392 = 931,392/x
  3. Step 3: Cross multiply
    423,576x = 931,392 × 931,392
  4. Step 4: Simplify right side
    423,576x = 867,491,057,664
  5. Step 5: Solve for x
    x = 867,491,057,664/423,576
  6. Step 6: Final answer
    x = 2,048,017.49

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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.