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Finding the Third Proportional to 1,816,946 and 3,822,220

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Solution

The third proportional to 1,816,946 and 3,822,220 is: 8,040,616.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,816,946 : 3,822,220 = 3,822,220 : x
  2. Step 2: Convert to fraction form
    1,816,946/3,822,220 = 3,822,220/x
  3. Step 3: Cross multiply
    1,816,946x = 3,822,220 × 3,822,220
  4. Step 4: Simplify right side
    1,816,946x = 14,609,365,728,400
  5. Step 5: Solve for x
    x = 14,609,365,728,400/1,816,946
  6. Step 6: Final answer
    x = 8,040,616.36

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.