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Finding the Third Proportional to 431,702 and 926,838

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Solution

The third proportional to 431,702 and 926,838 is: 1,989,864.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,702 : 926,838 = 926,838 : x
  2. Step 2: Convert to fraction form
    431,702/926,838 = 926,838/x
  3. Step 3: Cross multiply
    431,702x = 926,838 × 926,838
  4. Step 4: Simplify right side
    431,702x = 859,028,678,244
  5. Step 5: Solve for x
    x = 859,028,678,244/431,702
  6. Step 6: Final answer
    x = 1,989,864.95

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.