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Finding the Third Proportional to 1,534,510 and 2,323,086

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Solution

The third proportional to 1,534,510 and 2,323,086 is: 3,516,906.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,534,510 : 2,323,086 = 2,323,086 : x
  2. Step 2: Convert to fraction form
    1,534,510/2,323,086 = 2,323,086/x
  3. Step 3: Cross multiply
    1,534,510x = 2,323,086 × 2,323,086
  4. Step 4: Simplify right side
    1,534,510x = 5,396,728,563,396
  5. Step 5: Solve for x
    x = 5,396,728,563,396/1,534,510
  6. Step 6: Final answer
    x = 3,516,906.74

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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.