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Finding the Third Proportional to 698,769 and 1,504,530

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Solution

The third proportional to 698,769 and 1,504,530 is: 3,239,426.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,769 : 1,504,530 = 1,504,530 : x
  2. Step 2: Convert to fraction form
    698,769/1,504,530 = 1,504,530/x
  3. Step 3: Cross multiply
    698,769x = 1,504,530 × 1,504,530
  4. Step 4: Simplify right side
    698,769x = 2,263,610,520,900
  5. Step 5: Solve for x
    x = 2,263,610,520,900/698,769
  6. Step 6: Final answer
    x = 3,239,426.08

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.