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Finding the Third Proportional to 5,201,199 and 6,901,434

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Solution

The third proportional to 5,201,199 and 6,901,434 is: 9,157,463.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,201,199 : 6,901,434 = 6,901,434 : x
  2. Step 2: Convert to fraction form
    5,201,199/6,901,434 = 6,901,434/x
  3. Step 3: Cross multiply
    5,201,199x = 6,901,434 × 6,901,434
  4. Step 4: Simplify right side
    5,201,199x = 47,629,791,256,356
  5. Step 5: Solve for x
    x = 47,629,791,256,356/5,201,199
  6. Step 6: Final answer
    x = 9,157,463.74

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.