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Finding the Third Proportional to 1,028,320 and 2,214,532

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Solution

The third proportional to 1,028,320 and 2,214,532 is: 4,769,091.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028,320 : 2,214,532 = 2,214,532 : x
  2. Step 2: Convert to fraction form
    1,028,320/2,214,532 = 2,214,532/x
  3. Step 3: Cross multiply
    1,028,320x = 2,214,532 × 2,214,532
  4. Step 4: Simplify right side
    1,028,320x = 4,904,151,979,024
  5. Step 5: Solve for x
    x = 4,904,151,979,024/1,028,320
  6. Step 6: Final answer
    x = 4,769,091.31

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.