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Finding the Third Proportional to 472,891 and 1,037,654

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Solution

The third proportional to 472,891 and 1,037,654 is: 2,276,900.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,891 : 1,037,654 = 1,037,654 : x
  2. Step 2: Convert to fraction form
    472,891/1,037,654 = 1,037,654/x
  3. Step 3: Cross multiply
    472,891x = 1,037,654 × 1,037,654
  4. Step 4: Simplify right side
    472,891x = 1,076,725,823,716
  5. Step 5: Solve for x
    x = 1,076,725,823,716/472,891
  6. Step 6: Final answer
    x = 2,276,900.65

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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.