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Finding the Third Proportional to 770,265.75 and 1,662,318.38

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Solution

The third proportional to 770,265.75 and 1,662,318.38 is: 3,587,466.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    770,265.75 : 1,662,318.38 = 1,662,318.38 : x
  2. Step 2: Convert to fraction form
    770,265.75/1,662,318.38 = 1,662,318.38/x
  3. Step 3: Cross multiply
    770,265.75x = 1,662,318.38 × 1,662,318.38
  4. Step 4: Simplify right side
    770,265.75x = 2,763,302,379,862.64
  5. Step 5: Solve for x
    x = 2,763,302,379,862.64/770,265.75
  6. Step 6: Final answer
    x = 3,587,466.25

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.