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Finding the Third Proportional to 4,066,768 and 5,421,720

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Solution

The third proportional to 4,066,768 and 5,421,720 is: 7,228,110.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,066,768 : 5,421,720 = 5,421,720 : x
  2. Step 2: Convert to fraction form
    4,066,768/5,421,720 = 5,421,720/x
  3. Step 3: Cross multiply
    4,066,768x = 5,421,720 × 5,421,720
  4. Step 4: Simplify right side
    4,066,768x = 29,395,047,758,400
  5. Step 5: Solve for x
    x = 29,395,047,758,400/4,066,768
  6. Step 6: Final answer
    x = 7,228,110.32

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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.