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Finding the Third Proportional to 1,580,019 and 3,501,696

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Solution

The third proportional to 1,580,019 and 3,501,696 is: 7,760,586.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,580,019 : 3,501,696 = 3,501,696 : x
  2. Step 2: Convert to fraction form
    1,580,019/3,501,696 = 3,501,696/x
  3. Step 3: Cross multiply
    1,580,019x = 3,501,696 × 3,501,696
  4. Step 4: Simplify right side
    1,580,019x = 12,261,874,876,416
  5. Step 5: Solve for x
    x = 12,261,874,876,416/1,580,019
  6. Step 6: Final answer
    x = 7,760,586.98

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.