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Finding the Third Proportional to 423,574 and 825,869

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Solution

The third proportional to 423,574 and 825,869 is: 1,610,248.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,574 : 825,869 = 825,869 : x
  2. Step 2: Convert to fraction form
    423,574/825,869 = 825,869/x
  3. Step 3: Cross multiply
    423,574x = 825,869 × 825,869
  4. Step 4: Simplify right side
    423,574x = 682,059,605,161
  5. Step 5: Solve for x
    x = 682,059,605,161/423,574
  6. Step 6: Final answer
    x = 1,610,248.99

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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.