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Finding the Third Proportional to 539,036 and 898,314

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Solution

The third proportional to 539,036 and 898,314 is: 1,497,057.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,036 : 898,314 = 898,314 : x
  2. Step 2: Convert to fraction form
    539,036/898,314 = 898,314/x
  3. Step 3: Cross multiply
    539,036x = 898,314 × 898,314
  4. Step 4: Simplify right side
    539,036x = 806,968,042,596
  5. Step 5: Solve for x
    x = 806,968,042,596/539,036
  6. Step 6: Final answer
    x = 1,497,057.79

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.