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Finding the Third Proportional to 492,822 and 1,055,628

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Solution

The third proportional to 492,822 and 1,055,628 is: 2,261,162.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,822 : 1,055,628 = 1,055,628 : x
  2. Step 2: Convert to fraction form
    492,822/1,055,628 = 1,055,628/x
  3. Step 3: Cross multiply
    492,822x = 1,055,628 × 1,055,628
  4. Step 4: Simplify right side
    492,822x = 1,114,350,474,384
  5. Step 5: Solve for x
    x = 1,114,350,474,384/492,822
  6. Step 6: Final answer
    x = 2,261,162.19

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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.