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Finding the Third Proportional to 859,451 and 1,821,352

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Solution

The third proportional to 859,451 and 1,821,352 is: 3,859,816.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    859,451 : 1,821,352 = 1,821,352 : x
  2. Step 2: Convert to fraction form
    859,451/1,821,352 = 1,821,352/x
  3. Step 3: Cross multiply
    859,451x = 1,821,352 × 1,821,352
  4. Step 4: Simplify right side
    859,451x = 3,317,323,107,904
  5. Step 5: Solve for x
    x = 3,317,323,107,904/859,451
  6. Step 6: Final answer
    x = 3,859,816.45

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.