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Finding the Third Proportional to 472,918 and 1,037,732

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Solution

The third proportional to 472,918 and 1,037,732 is: 2,277,112.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,918 : 1,037,732 = 1,037,732 : x
  2. Step 2: Convert to fraction form
    472,918/1,037,732 = 1,037,732/x
  3. Step 3: Cross multiply
    472,918x = 1,037,732 × 1,037,732
  4. Step 4: Simplify right side
    472,918x = 1,076,887,703,824
  5. Step 5: Solve for x
    x = 1,076,887,703,824/472,918
  6. Step 6: Final answer
    x = 2,277,112.95

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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.