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Finding the Third Proportional to 847,616 and 1,859,843

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Solution

The third proportional to 847,616 and 1,859,843 is: 4,080,876.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    847,616 : 1,859,843 = 1,859,843 : x
  2. Step 2: Convert to fraction form
    847,616/1,859,843 = 1,859,843/x
  3. Step 3: Cross multiply
    847,616x = 1,859,843 × 1,859,843
  4. Step 4: Simplify right side
    847,616x = 3,459,015,984,649
  5. Step 5: Solve for x
    x = 3,459,015,984,649/847,616
  6. Step 6: Final answer
    x = 4,080,876.23

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.