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Finding the Third Proportional to 1,467,746.06 and 2,976,761.81

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Solution

The third proportional to 1,467,746.06 and 2,976,761.81 is: 6,037,223.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,467,746.06 : 2,976,761.81 = 2,976,761.81 : x
  2. Step 2: Convert to fraction form
    1,467,746.06/2,976,761.81 = 2,976,761.81/x
  3. Step 3: Cross multiply
    1,467,746.06x = 2,976,761.81 × 2,976,761.81
  4. Step 4: Simplify right side
    1,467,746.06x = 8,861,110,888,358.29
  5. Step 5: Solve for x
    x = 8,861,110,888,358.29/1,467,746.06
  6. Step 6: Final answer
    x = 6,037,223.41

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.