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Finding the Third Proportional to 860,016 and 1,336,128

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Solution

The third proportional to 860,016 and 1,336,128 is: 2,075,819.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    860,016 : 1,336,128 = 1,336,128 : x
  2. Step 2: Convert to fraction form
    860,016/1,336,128 = 1,336,128/x
  3. Step 3: Cross multiply
    860,016x = 1,336,128 × 1,336,128
  4. Step 4: Simplify right side
    860,016x = 1,785,238,032,384
  5. Step 5: Solve for x
    x = 1,785,238,032,384/860,016
  6. Step 6: Final answer
    x = 2,075,819.56

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.