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Finding the Third Proportional to 517,710 and 1,060,500

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Solution

The third proportional to 517,710 and 1,060,500 is: 2,172,374.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,710 : 1,060,500 = 1,060,500 : x
  2. Step 2: Convert to fraction form
    517,710/1,060,500 = 1,060,500/x
  3. Step 3: Cross multiply
    517,710x = 1,060,500 × 1,060,500
  4. Step 4: Simplify right side
    517,710x = 1,124,660,250,000
  5. Step 5: Solve for x
    x = 1,124,660,250,000/517,710
  6. Step 6: Final answer
    x = 2,172,374.98

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.