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Finding the Third Proportional to 759,684 and 1,774,794

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Solution

The third proportional to 759,684 and 1,774,794 is: 4,146,321.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    759,684 : 1,774,794 = 1,774,794 : x
  2. Step 2: Convert to fraction form
    759,684/1,774,794 = 1,774,794/x
  3. Step 3: Cross multiply
    759,684x = 1,774,794 × 1,774,794
  4. Step 4: Simplify right side
    759,684x = 3,149,893,742,436
  5. Step 5: Solve for x
    x = 3,149,893,742,436/759,684
  6. Step 6: Final answer
    x = 4,146,321.03

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.