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Finding the Third Proportional to 698,799 and 1,497,245

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Solution

The third proportional to 698,799 and 1,497,245 is: 3,207,993.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,799 : 1,497,245 = 1,497,245 : x
  2. Step 2: Convert to fraction form
    698,799/1,497,245 = 1,497,245/x
  3. Step 3: Cross multiply
    698,799x = 1,497,245 × 1,497,245
  4. Step 4: Simplify right side
    698,799x = 2,241,742,590,025
  5. Step 5: Solve for x
    x = 2,241,742,590,025/698,799
  6. Step 6: Final answer
    x = 3,207,993.41

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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.