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Finding the Third Proportional to 704,194 and 1,520,624

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Solution

The third proportional to 704,194 and 1,520,624 is: 3,283,608.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,194 : 1,520,624 = 1,520,624 : x
  2. Step 2: Convert to fraction form
    704,194/1,520,624 = 1,520,624/x
  3. Step 3: Cross multiply
    704,194x = 1,520,624 × 1,520,624
  4. Step 4: Simplify right side
    704,194x = 2,312,297,349,376
  5. Step 5: Solve for x
    x = 2,312,297,349,376/704,194
  6. Step 6: Final answer
    x = 3,283,608.42

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.