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Finding the Third Proportional to 698,208 and 1,507,848

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Solution

The third proportional to 698,208 and 1,507,848 is: 3,256,344.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,208 : 1,507,848 = 1,507,848 : x
  2. Step 2: Convert to fraction form
    698,208/1,507,848 = 1,507,848/x
  3. Step 3: Cross multiply
    698,208x = 1,507,848 × 1,507,848
  4. Step 4: Simplify right side
    698,208x = 2,273,605,591,104
  5. Step 5: Solve for x
    x = 2,273,605,591,104/698,208
  6. Step 6: Final answer
    x = 3,256,344.23

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Why These Related Problems?

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