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Finding the Third Proportional to 759,940 and 1,185,917

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Solution

The third proportional to 759,940 and 1,185,917 is: 1,850,671.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    759,940 : 1,185,917 = 1,185,917 : x
  2. Step 2: Convert to fraction form
    759,940/1,185,917 = 1,185,917/x
  3. Step 3: Cross multiply
    759,940x = 1,185,917 × 1,185,917
  4. Step 4: Simplify right side
    759,940x = 1,406,399,130,889
  5. Step 5: Solve for x
    x = 1,406,399,130,889/759,940
  6. Step 6: Final answer
    x = 1,850,671.28

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.