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Finding the Third Proportional to 494,718 and 1,059,396

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Solution

The third proportional to 494,718 and 1,059,396 is: 2,268,605.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,718 : 1,059,396 = 1,059,396 : x
  2. Step 2: Convert to fraction form
    494,718/1,059,396 = 1,059,396/x
  3. Step 3: Cross multiply
    494,718x = 1,059,396 × 1,059,396
  4. Step 4: Simplify right side
    494,718x = 1,122,319,884,816
  5. Step 5: Solve for x
    x = 1,122,319,884,816/494,718
  6. Step 6: Final answer
    x = 2,268,605.32

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.