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Finding the Third Proportional to 3,406,360 and 4,736,228

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Solution

The third proportional to 3,406,360 and 4,736,228 is: 6,585,286.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,406,360 : 4,736,228 = 4,736,228 : x
  2. Step 2: Convert to fraction form
    3,406,360/4,736,228 = 4,736,228/x
  3. Step 3: Cross multiply
    3,406,360x = 4,736,228 × 4,736,228
  4. Step 4: Simplify right side
    3,406,360x = 22,431,855,667,984
  5. Step 5: Solve for x
    x = 22,431,855,667,984/3,406,360
  6. Step 6: Final answer
    x = 6,585,286.25

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.