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Finding the Third Proportional to 474,156 and 1,027,044

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Solution

The third proportional to 474,156 and 1,027,044 is: 2,224,625.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,156 : 1,027,044 = 1,027,044 : x
  2. Step 2: Convert to fraction form
    474,156/1,027,044 = 1,027,044/x
  3. Step 3: Cross multiply
    474,156x = 1,027,044 × 1,027,044
  4. Step 4: Simplify right side
    474,156x = 1,054,819,377,936
  5. Step 5: Solve for x
    x = 1,054,819,377,936/474,156
  6. Step 6: Final answer
    x = 2,224,625.18

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.