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Finding the Third Proportional to 1,187,746.03 and 2,593,286.51

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Solution

The third proportional to 1,187,746.03 and 2,593,286.51 is: 5,662,098.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,187,746.03 : 2,593,286.51 = 2,593,286.51 : x
  2. Step 2: Convert to fraction form
    1,187,746.03/2,593,286.51 = 2,593,286.51/x
  3. Step 3: Cross multiply
    1,187,746.03x = 2,593,286.51 × 2,593,286.51
  4. Step 4: Simplify right side
    1,187,746.03x = 6,725,134,911,602.35
  5. Step 5: Solve for x
    x = 6,725,134,911,602.35/1,187,746.03
  6. Step 6: Final answer
    x = 5,662,098.41

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.