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Finding the Third Proportional to 4,109,506 and 5,452,851

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Solution

The third proportional to 4,109,506 and 5,452,851 is: 7,235,318.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,109,506 : 5,452,851 = 5,452,851 : x
  2. Step 2: Convert to fraction form
    4,109,506/5,452,851 = 5,452,851/x
  3. Step 3: Cross multiply
    4,109,506x = 5,452,851 × 5,452,851
  4. Step 4: Simplify right side
    4,109,506x = 29,733,584,028,201
  5. Step 5: Solve for x
    x = 29,733,584,028,201/4,109,506
  6. Step 6: Final answer
    x = 7,235,318.32

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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.