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Finding the Third Proportional to 694,854 and 1,038,189

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Solution

The third proportional to 694,854 and 1,038,189 is: 1,551,169.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    694,854 : 1,038,189 = 1,038,189 : x
  2. Step 2: Convert to fraction form
    694,854/1,038,189 = 1,038,189/x
  3. Step 3: Cross multiply
    694,854x = 1,038,189 × 1,038,189
  4. Step 4: Simplify right side
    694,854x = 1,077,836,399,721
  5. Step 5: Solve for x
    x = 1,077,836,399,721/694,854
  6. Step 6: Final answer
    x = 1,551,169.60

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.