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Finding the Third Proportional to 485,463 and 1,056,138

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Solution

The third proportional to 485,463 and 1,056,138 is: 2,297,657.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,463 : 1,056,138 = 1,056,138 : x
  2. Step 2: Convert to fraction form
    485,463/1,056,138 = 1,056,138/x
  3. Step 3: Cross multiply
    485,463x = 1,056,138 × 1,056,138
  4. Step 4: Simplify right side
    485,463x = 1,115,427,475,044
  5. Step 5: Solve for x
    x = 1,115,427,475,044/485,463
  6. Step 6: Final answer
    x = 2,297,657.03

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.