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Finding the Third Proportional to 1,534,534 and 2,323,121

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Solution

The third proportional to 1,534,534 and 2,323,121 is: 3,516,957.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,534,534 : 2,323,121 = 2,323,121 : x
  2. Step 2: Convert to fraction form
    1,534,534/2,323,121 = 2,323,121/x
  3. Step 3: Cross multiply
    1,534,534x = 2,323,121 × 2,323,121
  4. Step 4: Simplify right side
    1,534,534x = 5,396,891,180,641
  5. Step 5: Solve for x
    x = 5,396,891,180,641/1,534,534
  6. Step 6: Final answer
    x = 3,516,957.71

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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.