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Finding the Third Proportional to 577,746 and 1,288,305

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Solution

The third proportional to 577,746 and 1,288,305 is: 2,872,767.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,746 : 1,288,305 = 1,288,305 : x
  2. Step 2: Convert to fraction form
    577,746/1,288,305 = 1,288,305/x
  3. Step 3: Cross multiply
    577,746x = 1,288,305 × 1,288,305
  4. Step 4: Simplify right side
    577,746x = 1,659,729,773,025
  5. Step 5: Solve for x
    x = 1,659,729,773,025/577,746
  6. Step 6: Final answer
    x = 2,872,767.22

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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.