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Finding the Third Proportional to 759,134 and 1,146,543

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Solution

The third proportional to 759,134 and 1,146,543 is: 1,731,658.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    759,134 : 1,146,543 = 1,146,543 : x
  2. Step 2: Convert to fraction form
    759,134/1,146,543 = 1,146,543/x
  3. Step 3: Cross multiply
    759,134x = 1,146,543 × 1,146,543
  4. Step 4: Simplify right side
    759,134x = 1,314,560,850,849
  5. Step 5: Solve for x
    x = 1,314,560,850,849/759,134
  6. Step 6: Final answer
    x = 1,731,658.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.