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Finding the Third Proportional to 1,534,508 and 2,323,083

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Solution

The third proportional to 1,534,508 and 2,323,083 is: 3,516,902.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,534,508 : 2,323,083 = 2,323,083 : x
  2. Step 2: Convert to fraction form
    1,534,508/2,323,083 = 2,323,083/x
  3. Step 3: Cross multiply
    1,534,508x = 2,323,083 × 2,323,083
  4. Step 4: Simplify right side
    1,534,508x = 5,396,714,624,889
  5. Step 5: Solve for x
    x = 5,396,714,624,889/1,534,508
  6. Step 6: Final answer
    x = 3,516,902.24

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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.