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Finding the Third Proportional to 573,096 and 1,230,750

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Solution

The third proportional to 573,096 and 1,230,750 is: 2,643,092.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    573,096 : 1,230,750 = 1,230,750 : x
  2. Step 2: Convert to fraction form
    573,096/1,230,750 = 1,230,750/x
  3. Step 3: Cross multiply
    573,096x = 1,230,750 × 1,230,750
  4. Step 4: Simplify right side
    573,096x = 1,514,745,562,500
  5. Step 5: Solve for x
    x = 1,514,745,562,500/573,096
  6. Step 6: Final answer
    x = 2,643,092.19

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.