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Finding the Third Proportional to 491,365 and 1,071,668

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Solution

The third proportional to 491,365 and 1,071,668 is: 2,337,309.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,365 : 1,071,668 = 1,071,668 : x
  2. Step 2: Convert to fraction form
    491,365/1,071,668 = 1,071,668/x
  3. Step 3: Cross multiply
    491,365x = 1,071,668 × 1,071,668
  4. Step 4: Simplify right side
    491,365x = 1,148,472,302,224
  5. Step 5: Solve for x
    x = 1,148,472,302,224/491,365
  6. Step 6: Final answer
    x = 2,337,309.95

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.