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Finding the Third Proportional to 3,544,200.69 and 5,473,699.56

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Solution

The third proportional to 3,544,200.69 and 5,473,699.56 is: 8,453,637.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,544,200.69 : 5,473,699.56 = 5,473,699.56 : x
  2. Step 2: Convert to fraction form
    3,544,200.69/5,473,699.56 = 5,473,699.56/x
  3. Step 3: Cross multiply
    3,544,200.69x = 5,473,699.56 × 5,473,699.56
  4. Step 4: Simplify right side
    3,544,200.69x = 29,961,386,857,752.14
  5. Step 5: Solve for x
    x = 29,961,386,857,752.14/3,544,200.69
  6. Step 6: Final answer
    x = 8,453,637.23

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.