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Finding the Third Proportional to 932,022 and 2,016,378

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Solution

The third proportional to 932,022 and 2,016,378 is: 4,362,322.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    932,022 : 2,016,378 = 2,016,378 : x
  2. Step 2: Convert to fraction form
    932,022/2,016,378 = 2,016,378/x
  3. Step 3: Cross multiply
    932,022x = 2,016,378 × 2,016,378
  4. Step 4: Simplify right side
    932,022x = 4,065,780,238,884
  5. Step 5: Solve for x
    x = 4,065,780,238,884/932,022
  6. Step 6: Final answer
    x = 4,362,322.18

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.