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Finding the Third Proportional to 468,299.25 and 1,105,111.13

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Solution

The third proportional to 468,299.25 and 1,105,111.13 is: 2,607,885.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,299.25 : 1,105,111.13 = 1,105,111.13 : x
  2. Step 2: Convert to fraction form
    468,299.25/1,105,111.13 = 1,105,111.13/x
  3. Step 3: Cross multiply
    468,299.25x = 1,105,111.13 × 1,105,111.13
  4. Step 4: Simplify right side
    468,299.25x = 1,221,270,598,598.77
  5. Step 5: Solve for x
    x = 1,221,270,598,598.77/468,299.25
  6. Step 6: Final answer
    x = 2,607,885.02

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.