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Finding the Third Proportional to 2,909,497 and 6,322,603.75

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Solution

The third proportional to 2,909,497 and 6,322,603.75 is: 13,739,597.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,909,497 : 6,322,603.75 = 6,322,603.75 : x
  2. Step 2: Convert to fraction form
    2,909,497/6,322,603.75 = 6,322,603.75/x
  3. Step 3: Cross multiply
    2,909,497x = 6,322,603.75 × 6,322,603.75
  4. Step 4: Simplify right side
    2,909,497x = 39,975,318,179,514.06
  5. Step 5: Solve for x
    x = 39,975,318,179,514.06/2,909,497
  6. Step 6: Final answer
    x = 13,739,597.66

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.