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Finding the Third Proportional to 2,197,050.75 and 3,293,421.19

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Solution

The third proportional to 2,197,050.75 and 3,293,421.19 is: 4,936,901.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,197,050.75 : 3,293,421.19 = 3,293,421.19 : x
  2. Step 2: Convert to fraction form
    2,197,050.75/3,293,421.19 = 3,293,421.19/x
  3. Step 3: Cross multiply
    2,197,050.75x = 3,293,421.19 × 3,293,421.19
  4. Step 4: Simplify right side
    2,197,050.75x = 10,846,623,118,273.91
  5. Step 5: Solve for x
    x = 10,846,623,118,273.91/2,197,050.75
  6. Step 6: Final answer
    x = 4,936,901.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.