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Finding the Third Proportional to 803,163 and 1,746,291

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Solution

The third proportional to 803,163 and 1,746,291 is: 3,796,903.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    803,163 : 1,746,291 = 1,746,291 : x
  2. Step 2: Convert to fraction form
    803,163/1,746,291 = 1,746,291/x
  3. Step 3: Cross multiply
    803,163x = 1,746,291 × 1,746,291
  4. Step 4: Simplify right side
    803,163x = 3,049,532,256,681
  5. Step 5: Solve for x
    x = 3,049,532,256,681/803,163
  6. Step 6: Final answer
    x = 3,796,903.31

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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.