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Finding the Third Proportional to 2,805,233 and 6,135,346

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Solution

The third proportional to 2,805,233 and 6,135,346 is: 13,418,660.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,805,233 : 6,135,346 = 6,135,346 : x
  2. Step 2: Convert to fraction form
    2,805,233/6,135,346 = 6,135,346/x
  3. Step 3: Cross multiply
    2,805,233x = 6,135,346 × 6,135,346
  4. Step 4: Simplify right side
    2,805,233x = 37,642,470,539,716
  5. Step 5: Solve for x
    x = 37,642,470,539,716/2,805,233
  6. Step 6: Final answer
    x = 13,418,660.96

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.