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Finding the Third Proportional to 3,174,474 and 4,768,953

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Solution

The third proportional to 3,174,474 and 4,768,953 is: 7,164,309.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,174,474 : 4,768,953 = 4,768,953 : x
  2. Step 2: Convert to fraction form
    3,174,474/4,768,953 = 4,768,953/x
  3. Step 3: Cross multiply
    3,174,474x = 4,768,953 × 4,768,953
  4. Step 4: Simplify right side
    3,174,474x = 22,742,912,716,209
  5. Step 5: Solve for x
    x = 22,742,912,716,209/3,174,474
  6. Step 6: Final answer
    x = 7,164,309.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.