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Finding the Third Proportional to 1,405,220 and 3,023,569

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Solution

The third proportional to 1,405,220 and 3,023,569 is: 6,505,721.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,405,220 : 3,023,569 = 3,023,569 : x
  2. Step 2: Convert to fraction form
    1,405,220/3,023,569 = 3,023,569/x
  3. Step 3: Cross multiply
    1,405,220x = 3,023,569 × 3,023,569
  4. Step 4: Simplify right side
    1,405,220x = 9,141,969,497,761
  5. Step 5: Solve for x
    x = 9,141,969,497,761/1,405,220
  6. Step 6: Final answer
    x = 6,505,721.17

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.