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Finding the Third Proportional to 423,624 and 825,963

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Solution

The third proportional to 423,624 and 825,963 is: 1,610,425.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,624 : 825,963 = 825,963 : x
  2. Step 2: Convert to fraction form
    423,624/825,963 = 825,963/x
  3. Step 3: Cross multiply
    423,624x = 825,963 × 825,963
  4. Step 4: Simplify right side
    423,624x = 682,214,877,369
  5. Step 5: Solve for x
    x = 682,214,877,369/423,624
  6. Step 6: Final answer
    x = 1,610,425.47

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.