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Finding the Third Proportional to 1,197,340.31 and 1,808,448.19

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Solution

The third proportional to 1,197,340.31 and 1,808,448.19 is: 2,731,458.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197,340.31 : 1,808,448.19 = 1,808,448.19 : x
  2. Step 2: Convert to fraction form
    1,197,340.31/1,808,448.19 = 1,808,448.19/x
  3. Step 3: Cross multiply
    1,197,340.31x = 1,808,448.19 × 1,808,448.19
  4. Step 4: Simplify right side
    1,197,340.31x = 3,270,484,846,872.04
  5. Step 5: Solve for x
    x = 3,270,484,846,872.04/1,197,340.31
  6. Step 6: Final answer
    x = 2,731,458.06

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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.