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Finding the Third Proportional to 3,395,775 and 5,137,409

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Solution

The third proportional to 3,395,775 and 5,137,409 is: 7,772,296.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,395,775 : 5,137,409 = 5,137,409 : x
  2. Step 2: Convert to fraction form
    3,395,775/5,137,409 = 5,137,409/x
  3. Step 3: Cross multiply
    3,395,775x = 5,137,409 × 5,137,409
  4. Step 4: Simplify right side
    3,395,775x = 26,392,971,233,281
  5. Step 5: Solve for x
    x = 26,392,971,233,281/3,395,775
  6. Step 6: Final answer
    x = 7,772,296.82

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.