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Finding the Third Proportional to 776,120 and 1,665,640

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Solution

The third proportional to 776,120 and 1,665,640 is: 3,574,649.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    776,120 : 1,665,640 = 1,665,640 : x
  2. Step 2: Convert to fraction form
    776,120/1,665,640 = 1,665,640/x
  3. Step 3: Cross multiply
    776,120x = 1,665,640 × 1,665,640
  4. Step 4: Simplify right side
    776,120x = 2,774,356,609,600
  5. Step 5: Solve for x
    x = 2,774,356,609,600/776,120
  6. Step 6: Final answer
    x = 3,574,649.04

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.