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Finding the Third Proportional to 431,046 and 942,348

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Solution

The third proportional to 431,046 and 942,348 is: 2,060,150.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,046 : 942,348 = 942,348 : x
  2. Step 2: Convert to fraction form
    431,046/942,348 = 942,348/x
  3. Step 3: Cross multiply
    431,046x = 942,348 × 942,348
  4. Step 4: Simplify right side
    431,046x = 888,019,753,104
  5. Step 5: Solve for x
    x = 888,019,753,104/431,046
  6. Step 6: Final answer
    x = 2,060,150.78

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.