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Finding the Third Proportional to 373,973 and 822,736

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Solution

The third proportional to 373,973 and 822,736 is: 1,810,009.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,973 : 822,736 = 822,736 : x
  2. Step 2: Convert to fraction form
    373,973/822,736 = 822,736/x
  3. Step 3: Cross multiply
    373,973x = 822,736 × 822,736
  4. Step 4: Simplify right side
    373,973x = 676,894,525,696
  5. Step 5: Solve for x
    x = 676,894,525,696/373,973
  6. Step 6: Final answer
    x = 1,810,009.08

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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.