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Finding the Third Proportional to 4,914,961 and 7,693,201

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Solution

The third proportional to 4,914,961 and 7,693,201 is: 12,041,874.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,914,961 : 7,693,201 = 7,693,201 : x
  2. Step 2: Convert to fraction form
    4,914,961/7,693,201 = 7,693,201/x
  3. Step 3: Cross multiply
    4,914,961x = 7,693,201 × 7,693,201
  4. Step 4: Simplify right side
    4,914,961x = 59,185,341,626,401
  5. Step 5: Solve for x
    x = 59,185,341,626,401/4,914,961
  6. Step 6: Final answer
    x = 12,041,874.11

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.