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Finding the Third Proportional to 1,687,438 and 3,640,064

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Solution

The third proportional to 1,687,438 and 3,640,064 is: 7,852,179.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,687,438 : 3,640,064 = 3,640,064 : x
  2. Step 2: Convert to fraction form
    1,687,438/3,640,064 = 3,640,064/x
  3. Step 3: Cross multiply
    1,687,438x = 3,640,064 × 3,640,064
  4. Step 4: Simplify right side
    1,687,438x = 13,250,065,924,096
  5. Step 5: Solve for x
    x = 13,250,065,924,096/1,687,438
  6. Step 6: Final answer
    x = 7,852,179.41

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