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Finding the Third Proportional to 487,917 and 1,057,284

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Solution

The third proportional to 487,917 and 1,057,284 is: 2,291,064.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,917 : 1,057,284 = 1,057,284 : x
  2. Step 2: Convert to fraction form
    487,917/1,057,284 = 1,057,284/x
  3. Step 3: Cross multiply
    487,917x = 1,057,284 × 1,057,284
  4. Step 4: Simplify right side
    487,917x = 1,117,849,456,656
  5. Step 5: Solve for x
    x = 1,117,849,456,656/487,917
  6. Step 6: Final answer
    x = 2,291,064.78

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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.