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Finding the Third Proportional to 534,920 and 1,154,104

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Solution

The third proportional to 534,920 and 1,154,104 is: 2,490,009.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,920 : 1,154,104 = 1,154,104 : x
  2. Step 2: Convert to fraction form
    534,920/1,154,104 = 1,154,104/x
  3. Step 3: Cross multiply
    534,920x = 1,154,104 × 1,154,104
  4. Step 4: Simplify right side
    534,920x = 1,331,956,042,816
  5. Step 5: Solve for x
    x = 1,331,956,042,816/534,920
  6. Step 6: Final answer
    x = 2,490,009.80

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.