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Finding the Third Proportional to 472,905 and 1,037,785.50

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Solution

The third proportional to 472,905 and 1,037,785.50 is: 2,277,410.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,905 : 1,037,785.50 = 1,037,785.50 : x
  2. Step 2: Convert to fraction form
    472,905/1,037,785.50 = 1,037,785.50/x
  3. Step 3: Cross multiply
    472,905x = 1,037,785.50 × 1,037,785.50
  4. Step 4: Simplify right side
    472,905x = 1,076,998,744,010.25
  5. Step 5: Solve for x
    x = 1,076,998,744,010.25/472,905
  6. Step 6: Final answer
    x = 2,277,410.36

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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.