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Finding the Third Proportional to 472,885 and 1,037,642

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Solution

The third proportional to 472,885 and 1,037,642 is: 2,276,876.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,885 : 1,037,642 = 1,037,642 : x
  2. Step 2: Convert to fraction form
    472,885/1,037,642 = 1,037,642/x
  3. Step 3: Cross multiply
    472,885x = 1,037,642 × 1,037,642
  4. Step 4: Simplify right side
    472,885x = 1,076,700,920,164
  5. Step 5: Solve for x
    x = 1,076,700,920,164/472,885
  6. Step 6: Final answer
    x = 2,276,876.87

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Why These Related Problems?

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