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Finding the Third Proportional to 404,875.13 and 886,022.44

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Solution

The third proportional to 404,875.13 and 886,022.44 is: 1,938,957.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,875.13 : 886,022.44 = 886,022.44 : x
  2. Step 2: Convert to fraction form
    404,875.13/886,022.44 = 886,022.44/x
  3. Step 3: Cross multiply
    404,875.13x = 886,022.44 × 886,022.44
  4. Step 4: Simplify right side
    404,875.13x = 785,035,759,753.44
  5. Step 5: Solve for x
    x = 785,035,759,753.44/404,875.13
  6. Step 6: Final answer
    x = 1,938,957.75

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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.