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Finding the Third Proportional to 2,105,099 and 4,564,215

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Solution

The third proportional to 2,105,099 and 4,564,215 is: 9,895,999.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,105,099 : 4,564,215 = 4,564,215 : x
  2. Step 2: Convert to fraction form
    2,105,099/4,564,215 = 4,564,215/x
  3. Step 3: Cross multiply
    2,105,099x = 4,564,215 × 4,564,215
  4. Step 4: Simplify right side
    2,105,099x = 20,832,058,566,225
  5. Step 5: Solve for x
    x = 20,832,058,566,225/2,105,099
  6. Step 6: Final answer
    x = 9,895,999.46

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.