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Finding the Third Proportional to 803,147 and 1,746,263

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Solution

The third proportional to 803,147 and 1,746,263 is: 3,796,857.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    803,147 : 1,746,263 = 1,746,263 : x
  2. Step 2: Convert to fraction form
    803,147/1,746,263 = 1,746,263/x
  3. Step 3: Cross multiply
    803,147x = 1,746,263 × 1,746,263
  4. Step 4: Simplify right side
    803,147x = 3,049,434,465,169
  5. Step 5: Solve for x
    x = 3,049,434,465,169/803,147
  6. Step 6: Final answer
    x = 3,796,857.19

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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.