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Finding the Third Proportional to 1,890,400 and 4,148,214

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Solution

The third proportional to 1,890,400 and 4,148,214 is: 9,102,665.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,890,400 : 4,148,214 = 4,148,214 : x
  2. Step 2: Convert to fraction form
    1,890,400/4,148,214 = 4,148,214/x
  3. Step 3: Cross multiply
    1,890,400x = 4,148,214 × 4,148,214
  4. Step 4: Simplify right side
    1,890,400x = 17,207,679,389,796
  5. Step 5: Solve for x
    x = 17,207,679,389,796/1,890,400
  6. Step 6: Final answer
    x = 9,102,665.78

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.