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Finding the Third Proportional to 2,707,820.44 and 4,206,346.03

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Solution

The third proportional to 2,707,820.44 and 4,206,346.03 is: 6,534,165.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,707,820.44 : 4,206,346.03 = 4,206,346.03 : x
  2. Step 2: Convert to fraction form
    2,707,820.44/4,206,346.03 = 4,206,346.03/x
  3. Step 3: Cross multiply
    2,707,820.44x = 4,206,346.03 × 4,206,346.03
  4. Step 4: Simplify right side
    2,707,820.44x = 17,693,346,934,612.62
  5. Step 5: Solve for x
    x = 17,693,346,934,612.62/2,707,820.44
  6. Step 6: Final answer
    x = 6,534,165.52

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.