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Finding the Third Proportional to 770,854 and 1,695,480

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Solution

The third proportional to 770,854 and 1,695,480 is: 3,729,178.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    770,854 : 1,695,480 = 1,695,480 : x
  2. Step 2: Convert to fraction form
    770,854/1,695,480 = 1,695,480/x
  3. Step 3: Cross multiply
    770,854x = 1,695,480 × 1,695,480
  4. Step 4: Simplify right side
    770,854x = 2,874,652,430,400
  5. Step 5: Solve for x
    x = 2,874,652,430,400/770,854
  6. Step 6: Final answer
    x = 3,729,178.85

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.