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Finding the Third Proportional to 1,346,789 and 2,907,221

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Solution

The third proportional to 1,346,789 and 2,907,221 is: 6,275,618.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,346,789 : 2,907,221 = 2,907,221 : x
  2. Step 2: Convert to fraction form
    1,346,789/2,907,221 = 2,907,221/x
  3. Step 3: Cross multiply
    1,346,789x = 2,907,221 × 2,907,221
  4. Step 4: Simplify right side
    1,346,789x = 8,451,933,942,841
  5. Step 5: Solve for x
    x = 8,451,933,942,841/1,346,789
  6. Step 6: Final answer
    x = 6,275,618.48

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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.