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Finding the Third Proportional to 828,482 and 1,774,996

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Solution

The third proportional to 828,482 and 1,774,996 is: 3,802,871.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    828,482 : 1,774,996 = 1,774,996 : x
  2. Step 2: Convert to fraction form
    828,482/1,774,996 = 1,774,996/x
  3. Step 3: Cross multiply
    828,482x = 1,774,996 × 1,774,996
  4. Step 4: Simplify right side
    828,482x = 3,150,610,800,016
  5. Step 5: Solve for x
    x = 3,150,610,800,016/828,482
  6. Step 6: Final answer
    x = 3,802,871.76

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.