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Finding the Third Proportional to 1,597,428.75 and 3,514,220.63

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Solution

The third proportional to 1,597,428.75 and 3,514,220.63 is: 7,731,015.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,597,428.75 : 3,514,220.63 = 3,514,220.63 : x
  2. Step 2: Convert to fraction form
    1,597,428.75/3,514,220.63 = 3,514,220.63/x
  3. Step 3: Cross multiply
    1,597,428.75x = 3,514,220.63 × 3,514,220.63
  4. Step 4: Simplify right side
    1,597,428.75x = 12,349,746,601,175.39
  5. Step 5: Solve for x
    x = 12,349,746,601,175.39/1,597,428.75
  6. Step 6: Final answer
    x = 7,731,015.61

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.