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Finding the Third Proportional to 472,860 and 1,037,592

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Solution

The third proportional to 472,860 and 1,037,592 is: 2,276,777.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,860 : 1,037,592 = 1,037,592 : x
  2. Step 2: Convert to fraction form
    472,860/1,037,592 = 1,037,592/x
  3. Step 3: Cross multiply
    472,860x = 1,037,592 × 1,037,592
  4. Step 4: Simplify right side
    472,860x = 1,076,597,158,464
  5. Step 5: Solve for x
    x = 1,076,597,158,464/472,860
  6. Step 6: Final answer
    x = 2,276,777.82

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.