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Finding the Third Proportional to 803,161 and 1,746,289

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Solution

The third proportional to 803,161 and 1,746,289 is: 3,796,904.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    803,161 : 1,746,289 = 1,746,289 : x
  2. Step 2: Convert to fraction form
    803,161/1,746,289 = 1,746,289/x
  3. Step 3: Cross multiply
    803,161x = 1,746,289 × 1,746,289
  4. Step 4: Simplify right side
    803,161x = 3,049,525,271,521
  5. Step 5: Solve for x
    x = 3,049,525,271,521/803,161
  6. Step 6: Final answer
    x = 3,796,904.07

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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.