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Finding the Third Proportional to 1,971,476 and 4,014,412

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Solution

The third proportional to 1,971,476 and 4,014,412 is: 8,174,334.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,971,476 : 4,014,412 = 4,014,412 : x
  2. Step 2: Convert to fraction form
    1,971,476/4,014,412 = 4,014,412/x
  3. Step 3: Cross multiply
    1,971,476x = 4,014,412 × 4,014,412
  4. Step 4: Simplify right side
    1,971,476x = 16,115,503,705,744
  5. Step 5: Solve for x
    x = 16,115,503,705,744/1,971,476
  6. Step 6: Final answer
    x = 8,174,334.21

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.