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Finding the Third Proportional to 757,152 and 1,615,374

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Solution

The third proportional to 757,152 and 1,615,374 is: 3,446,379.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    757,152 : 1,615,374 = 1,615,374 : x
  2. Step 2: Convert to fraction form
    757,152/1,615,374 = 1,615,374/x
  3. Step 3: Cross multiply
    757,152x = 1,615,374 × 1,615,374
  4. Step 4: Simplify right side
    757,152x = 2,609,433,159,876
  5. Step 5: Solve for x
    x = 2,609,433,159,876/757,152
  6. Step 6: Final answer
    x = 3,446,379.54

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.