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Finding the Third Proportional to 822,010 and 1,801,159.75

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Solution

The third proportional to 822,010 and 1,801,159.75 is: 3,946,638.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    822,010 : 1,801,159.75 = 1,801,159.75 : x
  2. Step 2: Convert to fraction form
    822,010/1,801,159.75 = 1,801,159.75/x
  3. Step 3: Cross multiply
    822,010x = 1,801,159.75 × 1,801,159.75
  4. Step 4: Simplify right side
    822,010x = 3,244,176,445,020.06
  5. Step 5: Solve for x
    x = 3,244,176,445,020.06/822,010
  6. Step 6: Final answer
    x = 3,946,638.66

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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.