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Finding the Third Proportional to 689,760 and 1,462,752

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Solution

The third proportional to 689,760 and 1,462,752 is: 3,102,011.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,760 : 1,462,752 = 1,462,752 : x
  2. Step 2: Convert to fraction form
    689,760/1,462,752 = 1,462,752/x
  3. Step 3: Cross multiply
    689,760x = 1,462,752 × 1,462,752
  4. Step 4: Simplify right side
    689,760x = 2,139,643,413,504
  5. Step 5: Solve for x
    x = 2,139,643,413,504/689,760
  6. Step 6: Final answer
    x = 3,102,011.44

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.