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Finding the Third Proportional to 803,149 and 1,746,267

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Solution

The third proportional to 803,149 and 1,746,267 is: 3,796,865.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    803,149 : 1,746,267 = 1,746,267 : x
  2. Step 2: Convert to fraction form
    803,149/1,746,267 = 1,746,267/x
  3. Step 3: Cross multiply
    803,149x = 1,746,267 × 1,746,267
  4. Step 4: Simplify right side
    803,149x = 3,049,448,435,289
  5. Step 5: Solve for x
    x = 3,049,448,435,289/803,149
  6. Step 6: Final answer
    x = 3,796,865.13

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Why These Related Problems?

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