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Finding the Third Proportional to 4,272,371 and 6,105,120

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Solution

The third proportional to 4,272,371 and 6,105,120 is: 8,724,076.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,272,371 : 6,105,120 = 6,105,120 : x
  2. Step 2: Convert to fraction form
    4,272,371/6,105,120 = 6,105,120/x
  3. Step 3: Cross multiply
    4,272,371x = 6,105,120 × 6,105,120
  4. Step 4: Simplify right side
    4,272,371x = 37,272,490,214,400
  5. Step 5: Solve for x
    x = 37,272,490,214,400/4,272,371
  6. Step 6: Final answer
    x = 8,724,076.21

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.