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Finding the Third Proportional to 1,565,037 and 3,298,187.25

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Solution

The third proportional to 1,565,037 and 3,298,187.25 is: 6,950,659.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,565,037 : 3,298,187.25 = 3,298,187.25 : x
  2. Step 2: Convert to fraction form
    1,565,037/3,298,187.25 = 3,298,187.25/x
  3. Step 3: Cross multiply
    1,565,037x = 3,298,187.25 × 3,298,187.25
  4. Step 4: Simplify right side
    1,565,037x = 10,878,039,136,062.56
  5. Step 5: Solve for x
    x = 10,878,039,136,062.56/1,565,037
  6. Step 6: Final answer
    x = 6,950,659.40

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.