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Finding the Third Proportional to 768,220 and 1,682,798

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Solution

The third proportional to 768,220 and 1,682,798 is: 3,686,195.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,220 : 1,682,798 = 1,682,798 : x
  2. Step 2: Convert to fraction form
    768,220/1,682,798 = 1,682,798/x
  3. Step 3: Cross multiply
    768,220x = 1,682,798 × 1,682,798
  4. Step 4: Simplify right side
    768,220x = 2,831,809,108,804
  5. Step 5: Solve for x
    x = 2,831,809,108,804/768,220
  6. Step 6: Final answer
    x = 3,686,195.50

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Why These Related Problems?

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