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Finding the Third Proportional to 692,380 and 1,439,799

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Solution

The third proportional to 692,380 and 1,439,799 is: 2,994,051.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    692,380 : 1,439,799 = 1,439,799 : x
  2. Step 2: Convert to fraction form
    692,380/1,439,799 = 1,439,799/x
  3. Step 3: Cross multiply
    692,380x = 1,439,799 × 1,439,799
  4. Step 4: Simplify right side
    692,380x = 2,073,021,160,401
  5. Step 5: Solve for x
    x = 2,073,021,160,401/692,380
  6. Step 6: Final answer
    x = 2,994,051.19

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.