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Finding the Third Proportional to 480,462 and 1,112,145

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Solution

The third proportional to 480,462 and 1,112,145 is: 2,574,327.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,462 : 1,112,145 = 1,112,145 : x
  2. Step 2: Convert to fraction form
    480,462/1,112,145 = 1,112,145/x
  3. Step 3: Cross multiply
    480,462x = 1,112,145 × 1,112,145
  4. Step 4: Simplify right side
    480,462x = 1,236,866,501,025
  5. Step 5: Solve for x
    x = 1,236,866,501,025/480,462
  6. Step 6: Final answer
    x = 2,574,327.42

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.