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Finding the Third Proportional to 3,417,441 and 4,806,402.75

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Solution

The third proportional to 3,417,441 and 4,806,402.75 is: 6,759,884.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,417,441 : 4,806,402.75 = 4,806,402.75 : x
  2. Step 2: Convert to fraction form
    3,417,441/4,806,402.75 = 4,806,402.75/x
  3. Step 3: Cross multiply
    3,417,441x = 4,806,402.75 × 4,806,402.75
  4. Step 4: Simplify right side
    3,417,441x = 23,101,507,395,207.56
  5. Step 5: Solve for x
    x = 23,101,507,395,207.56/3,417,441
  6. Step 6: Final answer
    x = 6,759,884.78

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.