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Finding the Third Proportional to 485,465 and 1,056,142

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Solution

The third proportional to 485,465 and 1,056,142 is: 2,297,664.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,465 : 1,056,142 = 1,056,142 : x
  2. Step 2: Convert to fraction form
    485,465/1,056,142 = 1,056,142/x
  3. Step 3: Cross multiply
    485,465x = 1,056,142 × 1,056,142
  4. Step 4: Simplify right side
    485,465x = 1,115,435,924,164
  5. Step 5: Solve for x
    x = 1,115,435,924,164/485,465
  6. Step 6: Final answer
    x = 2,297,664.97

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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.