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Finding the Third Proportional to 702,974 and 1,512,747

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Solution

The third proportional to 702,974 and 1,512,747 is: 3,255,317.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,974 : 1,512,747 = 1,512,747 : x
  2. Step 2: Convert to fraction form
    702,974/1,512,747 = 1,512,747/x
  3. Step 3: Cross multiply
    702,974x = 1,512,747 × 1,512,747
  4. Step 4: Simplify right side
    702,974x = 2,288,403,486,009
  5. Step 5: Solve for x
    x = 2,288,403,486,009/702,974
  6. Step 6: Final answer
    x = 3,255,317.39

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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.