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Finding the Third Proportional to 807,203 and 1,756,287

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Solution

The third proportional to 807,203 and 1,756,287 is: 3,821,274.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    807,203 : 1,756,287 = 1,756,287 : x
  2. Step 2: Convert to fraction form
    807,203/1,756,287 = 1,756,287/x
  3. Step 3: Cross multiply
    807,203x = 1,756,287 × 1,756,287
  4. Step 4: Simplify right side
    807,203x = 3,084,544,026,369
  5. Step 5: Solve for x
    x = 3,084,544,026,369/807,203
  6. Step 6: Final answer
    x = 3,821,274.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.