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Finding the Third Proportional to 485,440 and 1,056,102

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Solution

The third proportional to 485,440 and 1,056,102 is: 2,297,609.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,440 : 1,056,102 = 1,056,102 : x
  2. Step 2: Convert to fraction form
    485,440/1,056,102 = 1,056,102/x
  3. Step 3: Cross multiply
    485,440x = 1,056,102 × 1,056,102
  4. Step 4: Simplify right side
    485,440x = 1,115,351,434,404
  5. Step 5: Solve for x
    x = 1,115,351,434,404/485,440
  6. Step 6: Final answer
    x = 2,297,609.25

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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.