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Finding the Third Proportional to 1,930,224 and 3,812,002

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Solution

The third proportional to 1,930,224 and 3,812,002 is: 7,528,327.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,930,224 : 3,812,002 = 3,812,002 : x
  2. Step 2: Convert to fraction form
    1,930,224/3,812,002 = 3,812,002/x
  3. Step 3: Cross multiply
    1,930,224x = 3,812,002 × 3,812,002
  4. Step 4: Simplify right side
    1,930,224x = 14,531,359,248,004
  5. Step 5: Solve for x
    x = 14,531,359,248,004/1,930,224
  6. Step 6: Final answer
    x = 7,528,327.93

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These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.