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Finding the Third Proportional to 577,634 and 1,288,081

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Solution

The third proportional to 577,634 and 1,288,081 is: 2,872,325.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,634 : 1,288,081 = 1,288,081 : x
  2. Step 2: Convert to fraction form
    577,634/1,288,081 = 1,288,081/x
  3. Step 3: Cross multiply
    577,634x = 1,288,081 × 1,288,081
  4. Step 4: Simplify right side
    577,634x = 1,659,152,662,561
  5. Step 5: Solve for x
    x = 1,659,152,662,561/577,634
  6. Step 6: Final answer
    x = 2,872,325.14

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.