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Finding the Third Proportional to 959,949 and 2,056,518

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Solution

The third proportional to 959,949 and 2,056,518 is: 4,405,719.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    959,949 : 2,056,518 = 2,056,518 : x
  2. Step 2: Convert to fraction form
    959,949/2,056,518 = 2,056,518/x
  3. Step 3: Cross multiply
    959,949x = 2,056,518 × 2,056,518
  4. Step 4: Simplify right side
    959,949x = 4,229,266,284,324
  5. Step 5: Solve for x
    x = 4,229,266,284,324/959,949
  6. Step 6: Final answer
    x = 4,405,719.77

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.