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Finding the Third Proportional to 1,540,371 and 3,434,919

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Solution

The third proportional to 1,540,371 and 3,434,919 is: 7,659,627.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,540,371 : 3,434,919 = 3,434,919 : x
  2. Step 2: Convert to fraction form
    1,540,371/3,434,919 = 3,434,919/x
  3. Step 3: Cross multiply
    1,540,371x = 3,434,919 × 3,434,919
  4. Step 4: Simplify right side
    1,540,371x = 11,798,668,536,561
  5. Step 5: Solve for x
    x = 11,798,668,536,561/1,540,371
  6. Step 6: Final answer
    x = 7,659,627.80

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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.