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Finding the Third Proportional to 1,580,014 and 2,383,963

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Solution

The third proportional to 1,580,014 and 2,383,963 is: 3,596,980.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,580,014 : 2,383,963 = 2,383,963 : x
  2. Step 2: Convert to fraction form
    1,580,014/2,383,963 = 2,383,963/x
  3. Step 3: Cross multiply
    1,580,014x = 2,383,963 × 2,383,963
  4. Step 4: Simplify right side
    1,580,014x = 5,683,279,585,369
  5. Step 5: Solve for x
    x = 5,683,279,585,369/1,580,014
  6. Step 6: Final answer
    x = 3,596,980.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.