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Finding the Third Proportional to 856,620 and 1,842,423

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Solution

The third proportional to 856,620 and 1,842,423 is: 3,962,693.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    856,620 : 1,842,423 = 1,842,423 : x
  2. Step 2: Convert to fraction form
    856,620/1,842,423 = 1,842,423/x
  3. Step 3: Cross multiply
    856,620x = 1,842,423 × 1,842,423
  4. Step 4: Simplify right side
    856,620x = 3,394,522,510,929
  5. Step 5: Solve for x
    x = 3,394,522,510,929/856,620
  6. Step 6: Final answer
    x = 3,962,693.51

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.