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Finding the Third Proportional to 3,638,306 and 5,457,002

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Solution

The third proportional to 3,638,306 and 5,457,002 is: 8,184,817.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,638,306 : 5,457,002 = 5,457,002 : x
  2. Step 2: Convert to fraction form
    3,638,306/5,457,002 = 5,457,002/x
  3. Step 3: Cross multiply
    3,638,306x = 5,457,002 × 5,457,002
  4. Step 4: Simplify right side
    3,638,306x = 29,778,870,828,004
  5. Step 5: Solve for x
    x = 29,778,870,828,004/3,638,306
  6. Step 6: Final answer
    x = 8,184,817.56

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