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Finding the Third Proportional to 502,782 and 1,084,278

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Solution

The third proportional to 502,782 and 1,084,278 is: 2,338,307.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,782 : 1,084,278 = 1,084,278 : x
  2. Step 2: Convert to fraction form
    502,782/1,084,278 = 1,084,278/x
  3. Step 3: Cross multiply
    502,782x = 1,084,278 × 1,084,278
  4. Step 4: Simplify right side
    502,782x = 1,175,658,781,284
  5. Step 5: Solve for x
    x = 1,175,658,781,284/502,782
  6. Step 6: Final answer
    x = 2,338,307.22

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.