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Finding the Third Proportional to 356,114 and 840,641

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Solution

The third proportional to 356,114 and 840,641 is: 1,984,413.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,114 : 840,641 = 840,641 : x
  2. Step 2: Convert to fraction form
    356,114/840,641 = 840,641/x
  3. Step 3: Cross multiply
    356,114x = 840,641 × 840,641
  4. Step 4: Simplify right side
    356,114x = 706,677,290,881
  5. Step 5: Solve for x
    x = 706,677,290,881/356,114
  6. Step 6: Final answer
    x = 1,984,413.11

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.