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Finding the Third Proportional to 1,580,012 and 2,383,960

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Solution

The third proportional to 1,580,012 and 2,383,960 is: 3,596,976.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,580,012 : 2,383,960 = 2,383,960 : x
  2. Step 2: Convert to fraction form
    1,580,012/2,383,960 = 2,383,960/x
  3. Step 3: Cross multiply
    1,580,012x = 2,383,960 × 2,383,960
  4. Step 4: Simplify right side
    1,580,012x = 5,683,265,281,600
  5. Step 5: Solve for x
    x = 5,683,265,281,600/1,580,012
  6. Step 6: Final answer
    x = 3,596,976.02

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