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Finding the Third Proportional to 1,403,919 and 3,032,006

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Solution

The third proportional to 1,403,919 and 3,032,006 is: 6,548,141.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,403,919 : 3,032,006 = 3,032,006 : x
  2. Step 2: Convert to fraction form
    1,403,919/3,032,006 = 3,032,006/x
  3. Step 3: Cross multiply
    1,403,919x = 3,032,006 × 3,032,006
  4. Step 4: Simplify right side
    1,403,919x = 9,193,060,384,036
  5. Step 5: Solve for x
    x = 9,193,060,384,036/1,403,919
  6. Step 6: Final answer
    x = 6,548,141.58

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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.