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Finding the Third Proportional to 1,309,924 and 2,082,984

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Solution

The third proportional to 1,309,924 and 2,082,984 is: 3,312,270.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309,924 : 2,082,984 = 2,082,984 : x
  2. Step 2: Convert to fraction form
    1,309,924/2,082,984 = 2,082,984/x
  3. Step 3: Cross multiply
    1,309,924x = 2,082,984 × 2,082,984
  4. Step 4: Simplify right side
    1,309,924x = 4,338,822,344,256
  5. Step 5: Solve for x
    x = 4,338,822,344,256/1,309,924
  6. Step 6: Final answer
    x = 3,312,270.29

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.