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Finding the Third Proportional to 409,949 and 898,872.50

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Solution

The third proportional to 409,949 and 898,872.50 is: 1,970,908.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,949 : 898,872.50 = 898,872.50 : x
  2. Step 2: Convert to fraction form
    409,949/898,872.50 = 898,872.50/x
  3. Step 3: Cross multiply
    409,949x = 898,872.50 × 898,872.50
  4. Step 4: Simplify right side
    409,949x = 807,971,771,256.25
  5. Step 5: Solve for x
    x = 807,971,771,256.25/409,949
  6. Step 6: Final answer
    x = 1,970,908.02

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.