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Finding the Third Proportional to 1,500,744 and 3,286,095

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Solution

The third proportional to 1,500,744 and 3,286,095 is: 7,195,377.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,500,744 : 3,286,095 = 3,286,095 : x
  2. Step 2: Convert to fraction form
    1,500,744/3,286,095 = 3,286,095/x
  3. Step 3: Cross multiply
    1,500,744x = 3,286,095 × 3,286,095
  4. Step 4: Simplify right side
    1,500,744x = 10,798,420,349,025
  5. Step 5: Solve for x
    x = 10,798,420,349,025/1,500,744
  6. Step 6: Final answer
    x = 7,195,377.99

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.