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Finding the Third Proportional to 431,702 and 942,014

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Solution

The third proportional to 431,702 and 942,014 is: 2,055,562.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,702 : 942,014 = 942,014 : x
  2. Step 2: Convert to fraction form
    431,702/942,014 = 942,014/x
  3. Step 3: Cross multiply
    431,702x = 942,014 × 942,014
  4. Step 4: Simplify right side
    431,702x = 887,390,376,196
  5. Step 5: Solve for x
    x = 887,390,376,196/431,702
  6. Step 6: Final answer
    x = 2,055,562.35

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.