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Finding the Third Proportional to 1,600,974 and 3,500,595

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Solution

The third proportional to 1,600,974 and 3,500,595 is: 7,654,193.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,600,974 : 3,500,595 = 3,500,595 : x
  2. Step 2: Convert to fraction form
    1,600,974/3,500,595 = 3,500,595/x
  3. Step 3: Cross multiply
    1,600,974x = 3,500,595 × 3,500,595
  4. Step 4: Simplify right side
    1,600,974x = 12,254,165,354,025
  5. Step 5: Solve for x
    x = 12,254,165,354,025/1,600,974
  6. Step 6: Final answer
    x = 7,654,193.86

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.