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Finding the Third Proportional to 825,802 and 1,223,352

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Solution

The third proportional to 825,802 and 1,223,352 is: 1,812,286.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    825,802 : 1,223,352 = 1,223,352 : x
  2. Step 2: Convert to fraction form
    825,802/1,223,352 = 1,223,352/x
  3. Step 3: Cross multiply
    825,802x = 1,223,352 × 1,223,352
  4. Step 4: Simplify right side
    825,802x = 1,496,590,115,904
  5. Step 5: Solve for x
    x = 1,496,590,115,904/825,802
  6. Step 6: Final answer
    x = 1,812,286.86

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.