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Finding the Third Proportional to 500,043 and 1,078,272

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Solution

The third proportional to 500,043 and 1,078,272 is: 2,325,141.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,043 : 1,078,272 = 1,078,272 : x
  2. Step 2: Convert to fraction form
    500,043/1,078,272 = 1,078,272/x
  3. Step 3: Cross multiply
    500,043x = 1,078,272 × 1,078,272
  4. Step 4: Simplify right side
    500,043x = 1,162,670,505,984
  5. Step 5: Solve for x
    x = 1,162,670,505,984/500,043
  6. Step 6: Final answer
    x = 2,325,141.05

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.