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Finding the Third Proportional to 803,159 and 1,746,286

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Solution

The third proportional to 803,159 and 1,746,286 is: 3,796,900.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    803,159 : 1,746,286 = 1,746,286 : x
  2. Step 2: Convert to fraction form
    803,159/1,746,286 = 1,746,286/x
  3. Step 3: Cross multiply
    803,159x = 1,746,286 × 1,746,286
  4. Step 4: Simplify right side
    803,159x = 3,049,514,793,796
  5. Step 5: Solve for x
    x = 3,049,514,793,796/803,159
  6. Step 6: Final answer
    x = 3,796,900.48

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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.