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Finding the Third Proportional to 387,164.81 and 910,900.69

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Solution

The third proportional to 387,164.81 and 910,900.69 is: 2,143,118.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,164.81 : 910,900.69 = 910,900.69 : x
  2. Step 2: Convert to fraction form
    387,164.81/910,900.69 = 910,900.69/x
  3. Step 3: Cross multiply
    387,164.81x = 910,900.69 × 910,900.69
  4. Step 4: Simplify right side
    387,164.81x = 829,740,062,487.97
  5. Step 5: Solve for x
    x = 829,740,062,487.97/387,164.81
  6. Step 6: Final answer
    x = 2,143,118.47

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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.