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Finding the Third Proportional to 983,214 and 2,145,162

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Solution

The third proportional to 983,214 and 2,145,162 is: 4,680,283.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    983,214 : 2,145,162 = 2,145,162 : x
  2. Step 2: Convert to fraction form
    983,214/2,145,162 = 2,145,162/x
  3. Step 3: Cross multiply
    983,214x = 2,145,162 × 2,145,162
  4. Step 4: Simplify right side
    983,214x = 4,601,720,006,244
  5. Step 5: Solve for x
    x = 4,601,720,006,244/983,214
  6. Step 6: Final answer
    x = 4,680,283.24

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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.