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Finding the Third Proportional to 1,890,401 and 4,148,217

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Solution

The third proportional to 1,890,401 and 4,148,217 is: 9,102,674.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,890,401 : 4,148,217 = 4,148,217 : x
  2. Step 2: Convert to fraction form
    1,890,401/4,148,217 = 4,148,217/x
  3. Step 3: Cross multiply
    1,890,401x = 4,148,217 × 4,148,217
  4. Step 4: Simplify right side
    1,890,401x = 17,207,704,279,089
  5. Step 5: Solve for x
    x = 17,207,704,279,089/1,890,401
  6. Step 6: Final answer
    x = 9,102,674.13

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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.