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Finding the Third Proportional to 2,066,931 and 3,102,457

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Solution

The third proportional to 2,066,931 and 3,102,457 is: 4,656,778.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,066,931 : 3,102,457 = 3,102,457 : x
  2. Step 2: Convert to fraction form
    2,066,931/3,102,457 = 3,102,457/x
  3. Step 3: Cross multiply
    2,066,931x = 3,102,457 × 3,102,457
  4. Step 4: Simplify right side
    2,066,931x = 9,625,239,436,849
  5. Step 5: Solve for x
    x = 9,625,239,436,849/2,066,931
  6. Step 6: Final answer
    x = 4,656,778.30

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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.