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Finding the Third Proportional to 472,970 and 1,050,916

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Solution

The third proportional to 472,970 and 1,050,916 is: 2,335,083.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,970 : 1,050,916 = 1,050,916 : x
  2. Step 2: Convert to fraction form
    472,970/1,050,916 = 1,050,916/x
  3. Step 3: Cross multiply
    472,970x = 1,050,916 × 1,050,916
  4. Step 4: Simplify right side
    472,970x = 1,104,424,439,056
  5. Step 5: Solve for x
    x = 1,104,424,439,056/472,970
  6. Step 6: Final answer
    x = 2,335,083.49

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.