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Finding the Third Proportional to 1,473,557.06 and 3,171,205.69

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Solution

The third proportional to 1,473,557.06 and 3,171,205.69 is: 6,824,673.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,473,557.06 : 3,171,205.69 = 3,171,205.69 : x
  2. Step 2: Convert to fraction form
    1,473,557.06/3,171,205.69 = 3,171,205.69/x
  3. Step 3: Cross multiply
    1,473,557.06x = 3,171,205.69 × 3,171,205.69
  4. Step 4: Simplify right side
    1,473,557.06x = 10,056,545,512,432.35
  5. Step 5: Solve for x
    x = 10,056,545,512,432.35/1,473,557.06
  6. Step 6: Final answer
    x = 6,824,673.28

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.