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Finding the Third Proportional to 564,600 and 1,211,064

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Solution

The third proportional to 564,600 and 1,211,064 is: 2,597,725.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,600 : 1,211,064 = 1,211,064 : x
  2. Step 2: Convert to fraction form
    564,600/1,211,064 = 1,211,064/x
  3. Step 3: Cross multiply
    564,600x = 1,211,064 × 1,211,064
  4. Step 4: Simplify right side
    564,600x = 1,466,676,012,096
  5. Step 5: Solve for x
    x = 1,466,676,012,096/564,600
  6. Step 6: Final answer
    x = 2,597,725.85

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.