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Finding the Third Proportional to 566,634 and 1,220,700

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Solution

The third proportional to 566,634 and 1,220,700 is: 2,629,754.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,634 : 1,220,700 = 1,220,700 : x
  2. Step 2: Convert to fraction form
    566,634/1,220,700 = 1,220,700/x
  3. Step 3: Cross multiply
    566,634x = 1,220,700 × 1,220,700
  4. Step 4: Simplify right side
    566,634x = 1,490,108,490,000
  5. Step 5: Solve for x
    x = 1,490,108,490,000/566,634
  6. Step 6: Final answer
    x = 2,629,754.82

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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.