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Finding the Third Proportional to 2,174,187 and 4,611,462

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Solution

The third proportional to 2,174,187 and 4,611,462 is: 9,780,935.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,174,187 : 4,611,462 = 4,611,462 : x
  2. Step 2: Convert to fraction form
    2,174,187/4,611,462 = 4,611,462/x
  3. Step 3: Cross multiply
    2,174,187x = 4,611,462 × 4,611,462
  4. Step 4: Simplify right side
    2,174,187x = 21,265,581,777,444
  5. Step 5: Solve for x
    x = 21,265,581,777,444/2,174,187
  6. Step 6: Final answer
    x = 9,780,935.02

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.