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Finding the Third Proportional to 4,212,765 and 6,169,185

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Solution

The third proportional to 4,212,765 and 6,169,185 is: 9,034,171.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,212,765 : 6,169,185 = 6,169,185 : x
  2. Step 2: Convert to fraction form
    4,212,765/6,169,185 = 6,169,185/x
  3. Step 3: Cross multiply
    4,212,765x = 6,169,185 × 6,169,185
  4. Step 4: Simplify right side
    4,212,765x = 38,058,843,564,225
  5. Step 5: Solve for x
    x = 38,058,843,564,225/4,212,765
  6. Step 6: Final answer
    x = 9,034,171.99

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.