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Finding the Third Proportional to 999,623 and 2,158,843

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Solution

The third proportional to 999,623 and 2,158,843 is: 4,662,360.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    999,623 : 2,158,843 = 2,158,843 : x
  2. Step 2: Convert to fraction form
    999,623/2,158,843 = 2,158,843/x
  3. Step 3: Cross multiply
    999,623x = 2,158,843 × 2,158,843
  4. Step 4: Simplify right side
    999,623x = 4,660,603,098,649
  5. Step 5: Solve for x
    x = 4,660,603,098,649/999,623
  6. Step 6: Final answer
    x = 4,662,360.81

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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.