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Finding the Third Proportional to 539,904 and 838,152

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Solution

The third proportional to 539,904 and 838,152 is: 1,301,154.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,904 : 838,152 = 838,152 : x
  2. Step 2: Convert to fraction form
    539,904/838,152 = 838,152/x
  3. Step 3: Cross multiply
    539,904x = 838,152 × 838,152
  4. Step 4: Simplify right side
    539,904x = 702,498,775,104
  5. Step 5: Solve for x
    x = 702,498,775,104/539,904
  6. Step 6: Final answer
    x = 1,301,154.97

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.