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Finding the Third Proportional to 1,015,461.56 and 2,162,507.63

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Solution

The third proportional to 1,015,461.56 and 2,162,507.63 is: 4,605,235.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,015,461.56 : 2,162,507.63 = 2,162,507.63 : x
  2. Step 2: Convert to fraction form
    1,015,461.56/2,162,507.63 = 2,162,507.63/x
  3. Step 3: Cross multiply
    1,015,461.56x = 2,162,507.63 × 2,162,507.63
  4. Step 4: Simplify right side
    1,015,461.56x = 4,676,439,228,183.14
  5. Step 5: Solve for x
    x = 4,676,439,228,183.14/1,015,461.56
  6. Step 6: Final answer
    x = 4,605,235.10

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.