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Finding the Third Proportional to 643,256 and 1,369,710

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Solution

The third proportional to 643,256 and 1,369,710 is: 2,916,576.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,256 : 1,369,710 = 1,369,710 : x
  2. Step 2: Convert to fraction form
    643,256/1,369,710 = 1,369,710/x
  3. Step 3: Cross multiply
    643,256x = 1,369,710 × 1,369,710
  4. Step 4: Simplify right side
    643,256x = 1,876,105,484,100
  5. Step 5: Solve for x
    x = 1,876,105,484,100/643,256
  6. Step 6: Final answer
    x = 2,916,576.73

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.