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Finding the Third Proportional to 919,851 and 2,010,701

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Solution

The third proportional to 919,851 and 2,010,701 is: 4,395,188.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    919,851 : 2,010,701 = 2,010,701 : x
  2. Step 2: Convert to fraction form
    919,851/2,010,701 = 2,010,701/x
  3. Step 3: Cross multiply
    919,851x = 2,010,701 × 2,010,701
  4. Step 4: Simplify right side
    919,851x = 4,042,918,511,401
  5. Step 5: Solve for x
    x = 4,042,918,511,401/919,851
  6. Step 6: Final answer
    x = 4,395,188.47

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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.