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Finding the Third Proportional to 822,010 and 1,801,160

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Solution

The third proportional to 822,010 and 1,801,160 is: 3,946,639.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    822,010 : 1,801,160 = 1,801,160 : x
  2. Step 2: Convert to fraction form
    822,010/1,801,160 = 1,801,160/x
  3. Step 3: Cross multiply
    822,010x = 1,801,160 × 1,801,160
  4. Step 4: Simplify right side
    822,010x = 3,244,177,345,600
  5. Step 5: Solve for x
    x = 3,244,177,345,600/822,010
  6. Step 6: Final answer
    x = 3,946,639.76

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