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Finding the Third Proportional to 1,534,566 and 2,323,172

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Solution

The third proportional to 1,534,566 and 2,323,172 is: 3,517,038.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,534,566 : 2,323,172 = 2,323,172 : x
  2. Step 2: Convert to fraction form
    1,534,566/2,323,172 = 2,323,172/x
  3. Step 3: Cross multiply
    1,534,566x = 2,323,172 × 2,323,172
  4. Step 4: Simplify right side
    1,534,566x = 5,397,128,141,584
  5. Step 5: Solve for x
    x = 5,397,128,141,584/1,534,566
  6. Step 6: Final answer
    x = 3,517,038.79

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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.