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Finding the Third Proportional to 515,346 and 1,122,182.25

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Solution

The third proportional to 515,346 and 1,122,182.25 is: 2,443,587.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,346 : 1,122,182.25 = 1,122,182.25 : x
  2. Step 2: Convert to fraction form
    515,346/1,122,182.25 = 1,122,182.25/x
  3. Step 3: Cross multiply
    515,346x = 1,122,182.25 × 1,122,182.25
  4. Step 4: Simplify right side
    515,346x = 1,259,293,002,215.06
  5. Step 5: Solve for x
    x = 1,259,293,002,215.06/515,346
  6. Step 6: Final answer
    x = 2,443,587.42

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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.