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Finding the Third Proportional to 1,284,607 and 2,823,521

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Solution

The third proportional to 1,284,607 and 2,823,521 is: 6,205,999.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284,607 : 2,823,521 = 2,823,521 : x
  2. Step 2: Convert to fraction form
    1,284,607/2,823,521 = 2,823,521/x
  3. Step 3: Cross multiply
    1,284,607x = 2,823,521 × 2,823,521
  4. Step 4: Simplify right side
    1,284,607x = 7,972,270,837,441
  5. Step 5: Solve for x
    x = 7,972,270,837,441/1,284,607
  6. Step 6: Final answer
    x = 6,205,999.84

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.