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Finding the Third Proportional to 1,163,293.31 and 1,746,171

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Solution

The third proportional to 1,163,293.31 and 1,746,171 is: 2,621,104.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,163,293.31 : 1,746,171 = 1,746,171 : x
  2. Step 2: Convert to fraction form
    1,163,293.31/1,746,171 = 1,746,171/x
  3. Step 3: Cross multiply
    1,163,293.31x = 1,746,171 × 1,746,171
  4. Step 4: Simplify right side
    1,163,293.31x = 3,049,113,161,241
  5. Step 5: Solve for x
    x = 3,049,113,161,241/1,163,293.31
  6. Step 6: Final answer
    x = 2,621,104.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.