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Finding the Third Proportional to 1,047,986 and 2,134,510

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Solution

The third proportional to 1,047,986 and 2,134,510 is: 4,347,513.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047,986 : 2,134,510 = 2,134,510 : x
  2. Step 2: Convert to fraction form
    1,047,986/2,134,510 = 2,134,510/x
  3. Step 3: Cross multiply
    1,047,986x = 2,134,510 × 2,134,510
  4. Step 4: Simplify right side
    1,047,986x = 4,556,132,940,100
  5. Step 5: Solve for x
    x = 4,556,132,940,100/1,047,986
  6. Step 6: Final answer
    x = 4,347,513.17

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.