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Finding the Third Proportional to 1,464,523 and 3,189,298

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Solution

The third proportional to 1,464,523 and 3,189,298 is: 6,945,347.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,464,523 : 3,189,298 = 3,189,298 : x
  2. Step 2: Convert to fraction form
    1,464,523/3,189,298 = 3,189,298/x
  3. Step 3: Cross multiply
    1,464,523x = 3,189,298 × 3,189,298
  4. Step 4: Simplify right side
    1,464,523x = 10,171,621,732,804
  5. Step 5: Solve for x
    x = 10,171,621,732,804/1,464,523
  6. Step 6: Final answer
    x = 6,945,347.89

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.