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Finding the Third Proportional to 2,913,143 and 4,410,201

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Solution

The third proportional to 2,913,143 and 4,410,201 is: 6,676,593.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,913,143 : 4,410,201 = 4,410,201 : x
  2. Step 2: Convert to fraction form
    2,913,143/4,410,201 = 4,410,201/x
  3. Step 3: Cross multiply
    2,913,143x = 4,410,201 × 4,410,201
  4. Step 4: Simplify right side
    2,913,143x = 19,449,872,860,401
  5. Step 5: Solve for x
    x = 19,449,872,860,401/2,913,143
  6. Step 6: Final answer
    x = 6,676,593.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.