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Finding the Third Proportional to 803,165 and 1,746,295

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Solution

The third proportional to 803,165 and 1,746,295 is: 3,796,911.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    803,165 : 1,746,295 = 1,746,295 : x
  2. Step 2: Convert to fraction form
    803,165/1,746,295 = 1,746,295/x
  3. Step 3: Cross multiply
    803,165x = 1,746,295 × 1,746,295
  4. Step 4: Simplify right side
    803,165x = 3,049,546,227,025
  5. Step 5: Solve for x
    x = 3,049,546,227,025/803,165
  6. Step 6: Final answer
    x = 3,796,911.25

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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.