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Finding the Third Proportional to 1,714,648.50 and 3,835,269

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Solution

The third proportional to 1,714,648.50 and 3,835,269 is: 8,578,602.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,714,648.50 : 3,835,269 = 3,835,269 : x
  2. Step 2: Convert to fraction form
    1,714,648.50/3,835,269 = 3,835,269/x
  3. Step 3: Cross multiply
    1,714,648.50x = 3,835,269 × 3,835,269
  4. Step 4: Simplify right side
    1,714,648.50x = 14,709,288,302,361
  5. Step 5: Solve for x
    x = 14,709,288,302,361/1,714,648.50
  6. Step 6: Final answer
    x = 8,578,602.73

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.