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Finding the Third Proportional to 1,685,420 and 2,570,108

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Solution

The third proportional to 1,685,420 and 2,570,108 is: 3,919,174.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,685,420 : 2,570,108 = 2,570,108 : x
  2. Step 2: Convert to fraction form
    1,685,420/2,570,108 = 2,570,108/x
  3. Step 3: Cross multiply
    1,685,420x = 2,570,108 × 2,570,108
  4. Step 4: Simplify right side
    1,685,420x = 6,605,455,131,664
  5. Step 5: Solve for x
    x = 6,605,455,131,664/1,685,420
  6. Step 6: Final answer
    x = 3,919,174.53

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.