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Finding the Third Proportional to 1,313,264 and 2,875,648

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Solution

The third proportional to 1,313,264 and 2,875,648 is: 6,296,792.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,313,264 : 2,875,648 = 2,875,648 : x
  2. Step 2: Convert to fraction form
    1,313,264/2,875,648 = 2,875,648/x
  3. Step 3: Cross multiply
    1,313,264x = 2,875,648 × 2,875,648
  4. Step 4: Simplify right side
    1,313,264x = 8,269,351,419,904
  5. Step 5: Solve for x
    x = 8,269,351,419,904/1,313,264
  6. Step 6: Final answer
    x = 6,296,792.89

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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.