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Finding the Third Proportional to 2,270,560 and 3,784,120

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Solution

The third proportional to 2,270,560 and 3,784,120 is: 6,306,622.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,270,560 : 3,784,120 = 3,784,120 : x
  2. Step 2: Convert to fraction form
    2,270,560/3,784,120 = 3,784,120/x
  3. Step 3: Cross multiply
    2,270,560x = 3,784,120 × 3,784,120
  4. Step 4: Simplify right side
    2,270,560x = 14,319,564,174,400
  5. Step 5: Solve for x
    x = 14,319,564,174,400/2,270,560
  6. Step 6: Final answer
    x = 6,306,622.23

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.