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Finding the Third Proportional to 969,528 and 2,082,984

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Solution

The third proportional to 969,528 and 2,082,984 is: 4,475,190.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    969,528 : 2,082,984 = 2,082,984 : x
  2. Step 2: Convert to fraction form
    969,528/2,082,984 = 2,082,984/x
  3. Step 3: Cross multiply
    969,528x = 2,082,984 × 2,082,984
  4. Step 4: Simplify right side
    969,528x = 4,338,822,344,256
  5. Step 5: Solve for x
    x = 4,338,822,344,256/969,528
  6. Step 6: Final answer
    x = 4,475,190.34

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.