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Finding the Third Proportional to 770,040 and 1,689,336

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Solution

The third proportional to 770,040 and 1,689,336 is: 3,706,114.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    770,040 : 1,689,336 = 1,689,336 : x
  2. Step 2: Convert to fraction form
    770,040/1,689,336 = 1,689,336/x
  3. Step 3: Cross multiply
    770,040x = 1,689,336 × 1,689,336
  4. Step 4: Simplify right side
    770,040x = 2,853,856,120,896
  5. Step 5: Solve for x
    x = 2,853,856,120,896/770,040
  6. Step 6: Final answer
    x = 3,706,114.13

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.