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Finding the Third Proportional to 698,112 and 1,448,064

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Solution

The third proportional to 698,112 and 1,448,064 is: 3,003,657.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,112 : 1,448,064 = 1,448,064 : x
  2. Step 2: Convert to fraction form
    698,112/1,448,064 = 1,448,064/x
  3. Step 3: Cross multiply
    698,112x = 1,448,064 × 1,448,064
  4. Step 4: Simplify right side
    698,112x = 2,096,889,348,096
  5. Step 5: Solve for x
    x = 2,096,889,348,096/698,112
  6. Step 6: Final answer
    x = 3,003,657.50

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.