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Finding the Third Proportional to 481,502 and 1,025,212

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Solution

The third proportional to 481,502 and 1,025,212 is: 2,182,877.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,502 : 1,025,212 = 1,025,212 : x
  2. Step 2: Convert to fraction form
    481,502/1,025,212 = 1,025,212/x
  3. Step 3: Cross multiply
    481,502x = 1,025,212 × 1,025,212
  4. Step 4: Simplify right side
    481,502x = 1,051,059,644,944
  5. Step 5: Solve for x
    x = 1,051,059,644,944/481,502
  6. Step 6: Final answer
    x = 2,182,877.01

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.