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Finding the Third Proportional to 2,029,760 and 4,203,396

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Solution

The third proportional to 2,029,760 and 4,203,396 is: 8,704,742.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,029,760 : 4,203,396 = 4,203,396 : x
  2. Step 2: Convert to fraction form
    2,029,760/4,203,396 = 4,203,396/x
  3. Step 3: Cross multiply
    2,029,760x = 4,203,396 × 4,203,396
  4. Step 4: Simplify right side
    2,029,760x = 17,668,537,932,816
  5. Step 5: Solve for x
    x = 17,668,537,932,816/2,029,760
  6. Step 6: Final answer
    x = 8,704,742.40

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.