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Finding the Third Proportional to 895,890 and 1,941,214

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Solution

The third proportional to 895,890 and 1,941,214 is: 4,206,221.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    895,890 : 1,941,214 = 1,941,214 : x
  2. Step 2: Convert to fraction form
    895,890/1,941,214 = 1,941,214/x
  3. Step 3: Cross multiply
    895,890x = 1,941,214 × 1,941,214
  4. Step 4: Simplify right side
    895,890x = 3,768,311,793,796
  5. Step 5: Solve for x
    x = 3,768,311,793,796/895,890
  6. Step 6: Final answer
    x = 4,206,221.52

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.