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Finding the Third Proportional to 947,944 and 2,028,748.50

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Solution

The third proportional to 947,944 and 2,028,748.50 is: 4,341,839.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    947,944 : 2,028,748.50 = 2,028,748.50 : x
  2. Step 2: Convert to fraction form
    947,944/2,028,748.50 = 2,028,748.50/x
  3. Step 3: Cross multiply
    947,944x = 2,028,748.50 × 2,028,748.50
  4. Step 4: Simplify right side
    947,944x = 4,115,820,476,252.25
  5. Step 5: Solve for x
    x = 4,115,820,476,252.25/947,944
  6. Step 6: Final answer
    x = 4,341,839.26

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.