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Finding the Third Proportional to 1,047,984 and 2,134,506

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Solution

The third proportional to 1,047,984 and 2,134,506 is: 4,347,505.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047,984 : 2,134,506 = 2,134,506 : x
  2. Step 2: Convert to fraction form
    1,047,984/2,134,506 = 2,134,506/x
  3. Step 3: Cross multiply
    1,047,984x = 2,134,506 × 2,134,506
  4. Step 4: Simplify right side
    1,047,984x = 4,556,115,864,036
  5. Step 5: Solve for x
    x = 4,556,115,864,036/1,047,984
  6. Step 6: Final answer
    x = 4,347,505.18

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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.