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Finding the Third Proportional to 803,162 and 1,746,290

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Solution

The third proportional to 803,162 and 1,746,290 is: 3,796,903.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    803,162 : 1,746,290 = 1,746,290 : x
  2. Step 2: Convert to fraction form
    803,162/1,746,290 = 1,746,290/x
  3. Step 3: Cross multiply
    803,162x = 1,746,290 × 1,746,290
  4. Step 4: Simplify right side
    803,162x = 3,049,528,764,100
  5. Step 5: Solve for x
    x = 3,049,528,764,100/803,162
  6. Step 6: Final answer
    x = 3,796,903.69

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.