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Finding the Third Proportional to 4,542,419.25 and 6,982,011

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Solution

The third proportional to 4,542,419.25 and 6,982,011 is: 10,731,831.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,542,419.25 : 6,982,011 = 6,982,011 : x
  2. Step 2: Convert to fraction form
    4,542,419.25/6,982,011 = 6,982,011/x
  3. Step 3: Cross multiply
    4,542,419.25x = 6,982,011 × 6,982,011
  4. Step 4: Simplify right side
    4,542,419.25x = 48,748,477,604,121
  5. Step 5: Solve for x
    x = 48,748,477,604,121/4,542,419.25
  6. Step 6: Final answer
    x = 10,731,831.41

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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.