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Finding the Third Proportional to 630,963 and 1,384,398

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Solution

The third proportional to 630,963 and 1,384,398 is: 3,037,512.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    630,963 : 1,384,398 = 1,384,398 : x
  2. Step 2: Convert to fraction form
    630,963/1,384,398 = 1,384,398/x
  3. Step 3: Cross multiply
    630,963x = 1,384,398 × 1,384,398
  4. Step 4: Simplify right side
    630,963x = 1,916,557,822,404
  5. Step 5: Solve for x
    x = 1,916,557,822,404/630,963
  6. Step 6: Final answer
    x = 3,037,512.22

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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.