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Finding the Third Proportional to 498,390 and 1,062,021

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Solution

The third proportional to 498,390 and 1,062,021 is: 2,263,064.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,390 : 1,062,021 = 1,062,021 : x
  2. Step 2: Convert to fraction form
    498,390/1,062,021 = 1,062,021/x
  3. Step 3: Cross multiply
    498,390x = 1,062,021 × 1,062,021
  4. Step 4: Simplify right side
    498,390x = 1,127,888,604,441
  5. Step 5: Solve for x
    x = 1,127,888,604,441/498,390
  6. Step 6: Final answer
    x = 2,263,064.28

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.