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Finding the Third Proportional to 698,690 and 1,497,100

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Solution

The third proportional to 698,690 and 1,497,100 is: 3,207,872.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,690 : 1,497,100 = 1,497,100 : x
  2. Step 2: Convert to fraction form
    698,690/1,497,100 = 1,497,100/x
  3. Step 3: Cross multiply
    698,690x = 1,497,100 × 1,497,100
  4. Step 4: Simplify right side
    698,690x = 2,241,308,410,000
  5. Step 5: Solve for x
    x = 2,241,308,410,000/698,690
  6. Step 6: Final answer
    x = 3,207,872.46

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.