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Finding the Third Proportional to 676,856.25 and 1,505,007

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Solution

The third proportional to 676,856.25 and 1,505,007 is: 3,346,421.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    676,856.25 : 1,505,007 = 1,505,007 : x
  2. Step 2: Convert to fraction form
    676,856.25/1,505,007 = 1,505,007/x
  3. Step 3: Cross multiply
    676,856.25x = 1,505,007 × 1,505,007
  4. Step 4: Simplify right side
    676,856.25x = 2,265,046,070,049
  5. Step 5: Solve for x
    x = 2,265,046,070,049/676,856.25
  6. Step 6: Final answer
    x = 3,346,421.15

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.