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Finding the Third Proportional to 798,206 and 1,205,607

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Solution

The third proportional to 798,206 and 1,205,607 is: 1,820,943.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    798,206 : 1,205,607 = 1,205,607 : x
  2. Step 2: Convert to fraction form
    798,206/1,205,607 = 1,205,607/x
  3. Step 3: Cross multiply
    798,206x = 1,205,607 × 1,205,607
  4. Step 4: Simplify right side
    798,206x = 1,453,488,238,449
  5. Step 5: Solve for x
    x = 1,453,488,238,449/798,206
  6. Step 6: Final answer
    x = 1,820,943.76

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.