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Finding the Third Proportional to 759,941 and 1,185,920

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Solution

The third proportional to 759,941 and 1,185,920 is: 1,850,678.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    759,941 : 1,185,920 = 1,185,920 : x
  2. Step 2: Convert to fraction form
    759,941/1,185,920 = 1,185,920/x
  3. Step 3: Cross multiply
    759,941x = 1,185,920 × 1,185,920
  4. Step 4: Simplify right side
    759,941x = 1,406,406,246,400
  5. Step 5: Solve for x
    x = 1,406,406,246,400/759,941
  6. Step 6: Final answer
    x = 1,850,678.21

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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.