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Finding the Third Proportional to 3,914,690 and 5,720,971

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Solution

The third proportional to 3,914,690 and 5,720,971 is: 8,360,689.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,914,690 : 5,720,971 = 5,720,971 : x
  2. Step 2: Convert to fraction form
    3,914,690/5,720,971 = 5,720,971/x
  3. Step 3: Cross multiply
    3,914,690x = 5,720,971 × 5,720,971
  4. Step 4: Simplify right side
    3,914,690x = 32,729,509,182,841
  5. Step 5: Solve for x
    x = 32,729,509,182,841/3,914,690
  6. Step 6: Final answer
    x = 8,360,689.91

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.