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Finding the Third Proportional to 1,929,401 and 4,201,666

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Solution

The third proportional to 1,929,401 and 4,201,666 is: 9,149,988.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,929,401 : 4,201,666 = 4,201,666 : x
  2. Step 2: Convert to fraction form
    1,929,401/4,201,666 = 4,201,666/x
  3. Step 3: Cross multiply
    1,929,401x = 4,201,666 × 4,201,666
  4. Step 4: Simplify right side
    1,929,401x = 17,653,997,175,556
  5. Step 5: Solve for x
    x = 17,653,997,175,556/1,929,401
  6. Step 6: Final answer
    x = 9,149,988.61

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.