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Finding the Third Proportional to 1,267,161.47 and 2,624,101.31

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Solution

The third proportional to 1,267,161.47 and 2,624,101.31 is: 5,434,120.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,267,161.47 : 2,624,101.31 = 2,624,101.31 : x
  2. Step 2: Convert to fraction form
    1,267,161.47/2,624,101.31 = 2,624,101.31/x
  3. Step 3: Cross multiply
    1,267,161.47x = 2,624,101.31 × 2,624,101.31
  4. Step 4: Simplify right side
    1,267,161.47x = 6,885,907,698,264.22
  5. Step 5: Solve for x
    x = 6,885,907,698,264.22/1,267,161.47
  6. Step 6: Final answer
    x = 5,434,120.17

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.