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Finding the Third Proportional to 647,568 and 964,710

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Solution

The third proportional to 647,568 and 964,710 is: 1,437,170.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,568 : 964,710 = 964,710 : x
  2. Step 2: Convert to fraction form
    647,568/964,710 = 964,710/x
  3. Step 3: Cross multiply
    647,568x = 964,710 × 964,710
  4. Step 4: Simplify right side
    647,568x = 930,665,384,100
  5. Step 5: Solve for x
    x = 930,665,384,100/647,568
  6. Step 6: Final answer
    x = 1,437,170.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.