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Finding the Third Proportional to 387,036 and 910,662.75

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Solution

The third proportional to 387,036 and 910,662.75 is: 2,142,711.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,036 : 910,662.75 = 910,662.75 : x
  2. Step 2: Convert to fraction form
    387,036/910,662.75 = 910,662.75/x
  3. Step 3: Cross multiply
    387,036x = 910,662.75 × 910,662.75
  4. Step 4: Simplify right side
    387,036x = 829,306,644,237.56
  5. Step 5: Solve for x
    x = 829,306,644,237.56/387,036
  6. Step 6: Final answer
    x = 2,142,711.90

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.