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Finding the Third Proportional to 930,864 and 2,004,216

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Solution

The third proportional to 930,864 and 2,004,216 is: 4,315,218.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    930,864 : 2,004,216 = 2,004,216 : x
  2. Step 2: Convert to fraction form
    930,864/2,004,216 = 2,004,216/x
  3. Step 3: Cross multiply
    930,864x = 2,004,216 × 2,004,216
  4. Step 4: Simplify right side
    930,864x = 4,016,881,774,656
  5. Step 5: Solve for x
    x = 4,016,881,774,656/930,864
  6. Step 6: Final answer
    x = 4,315,218.74

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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.