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Finding the Third Proportional to 1,313,398.50 and 2,875,911

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Solution

The third proportional to 1,313,398.50 and 2,875,911 is: 6,297,299.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,313,398.50 : 2,875,911 = 2,875,911 : x
  2. Step 2: Convert to fraction form
    1,313,398.50/2,875,911 = 2,875,911/x
  3. Step 3: Cross multiply
    1,313,398.50x = 2,875,911 × 2,875,911
  4. Step 4: Simplify right side
    1,313,398.50x = 8,270,864,079,921
  5. Step 5: Solve for x
    x = 8,270,864,079,921/1,313,398.50
  6. Step 6: Final answer
    x = 6,297,299.78

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Why These Related Problems?

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