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Finding the Third Proportional to 2,102,181 and 4,611,303

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Solution

The third proportional to 2,102,181 and 4,611,303 is: 10,115,263.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102,181 : 4,611,303 = 4,611,303 : x
  2. Step 2: Convert to fraction form
    2,102,181/4,611,303 = 4,611,303/x
  3. Step 3: Cross multiply
    2,102,181x = 4,611,303 × 4,611,303
  4. Step 4: Simplify right side
    2,102,181x = 21,264,115,357,809
  5. Step 5: Solve for x
    x = 21,264,115,357,809/2,102,181
  6. Step 6: Final answer
    x = 10,115,263.79

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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.