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Finding the Third Proportional to 767,875.50 and 1,671,194.25

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Solution

The third proportional to 767,875.50 and 1,671,194.25 is: 3,637,165.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    767,875.50 : 1,671,194.25 = 1,671,194.25 : x
  2. Step 2: Convert to fraction form
    767,875.50/1,671,194.25 = 1,671,194.25/x
  3. Step 3: Cross multiply
    767,875.50x = 1,671,194.25 × 1,671,194.25
  4. Step 4: Simplify right side
    767,875.50x = 2,792,890,221,233.06
  5. Step 5: Solve for x
    x = 2,792,890,221,233.06/767,875.50
  6. Step 6: Final answer
    x = 3,637,165.43

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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.