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Finding the Third Proportional to 1,565,109 and 2,096,401.50

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Solution

The third proportional to 1,565,109 and 2,096,401.50 is: 2,808,046.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,565,109 : 2,096,401.50 = 2,096,401.50 : x
  2. Step 2: Convert to fraction form
    1,565,109/2,096,401.50 = 2,096,401.50/x
  3. Step 3: Cross multiply
    1,565,109x = 2,096,401.50 × 2,096,401.50
  4. Step 4: Simplify right side
    1,565,109x = 4,394,899,249,202.25
  5. Step 5: Solve for x
    x = 4,394,899,249,202.25/1,565,109
  6. Step 6: Final answer
    x = 2,808,046.76

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.