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Finding the Third Proportional to 1,403,943 and 3,032,049

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Solution

The third proportional to 1,403,943 and 3,032,049 is: 6,548,215.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,403,943 : 3,032,049 = 3,032,049 : x
  2. Step 2: Convert to fraction form
    1,403,943/3,032,049 = 3,032,049/x
  3. Step 3: Cross multiply
    1,403,943x = 3,032,049 × 3,032,049
  4. Step 4: Simplify right side
    1,403,943x = 9,193,321,138,401
  5. Step 5: Solve for x
    x = 9,193,321,138,401/1,403,943
  6. Step 6: Final answer
    x = 6,548,215.38

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.