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Finding the Third Proportional to 803,178 and 1,746,324

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Solution

The third proportional to 803,178 and 1,746,324 is: 3,796,975.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    803,178 : 1,746,324 = 1,746,324 : x
  2. Step 2: Convert to fraction form
    803,178/1,746,324 = 1,746,324/x
  3. Step 3: Cross multiply
    803,178x = 1,746,324 × 1,746,324
  4. Step 4: Simplify right side
    803,178x = 3,049,647,512,976
  5. Step 5: Solve for x
    x = 3,049,647,512,976/803,178
  6. Step 6: Final answer
    x = 3,796,975.90

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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.