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Finding the Third Proportional to 2,897,309.25 and 6,298,377.75

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Solution

The third proportional to 2,897,309.25 and 6,298,377.75 is: 13,691,863.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,897,309.25 : 6,298,377.75 = 6,298,377.75 : x
  2. Step 2: Convert to fraction form
    2,897,309.25/6,298,377.75 = 6,298,377.75/x
  3. Step 3: Cross multiply
    2,897,309.25x = 6,298,377.75 × 6,298,377.75
  4. Step 4: Simplify right side
    2,897,309.25x = 39,669,562,281,695.06
  5. Step 5: Solve for x
    x = 39,669,562,281,695.06/2,897,309.25
  6. Step 6: Final answer
    x = 13,691,863.33

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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.