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Finding the Third Proportional to 767,886.75 and 1,671,171.75

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Solution

The third proportional to 767,886.75 and 1,671,171.75 is: 3,637,014.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    767,886.75 : 1,671,171.75 = 1,671,171.75 : x
  2. Step 2: Convert to fraction form
    767,886.75/1,671,171.75 = 1,671,171.75/x
  3. Step 3: Cross multiply
    767,886.75x = 1,671,171.75 × 1,671,171.75
  4. Step 4: Simplify right side
    767,886.75x = 2,792,815,017,998.06
  5. Step 5: Solve for x
    x = 2,792,815,017,998.06/767,886.75
  6. Step 6: Final answer
    x = 3,637,014.21

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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.