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Finding the Third Proportional to 822,804 and 1,799,400

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Solution

The third proportional to 822,804 and 1,799,400 is: 3,935,129.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    822,804 : 1,799,400 = 1,799,400 : x
  2. Step 2: Convert to fraction form
    822,804/1,799,400 = 1,799,400/x
  3. Step 3: Cross multiply
    822,804x = 1,799,400 × 1,799,400
  4. Step 4: Simplify right side
    822,804x = 3,237,840,360,000
  5. Step 5: Solve for x
    x = 3,237,840,360,000/822,804
  6. Step 6: Final answer
    x = 3,935,129.58

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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.