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Finding the Third Proportional to 900,288 and 1,967,868

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Solution

The third proportional to 900,288 and 1,967,868 is: 4,301,406.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    900,288 : 1,967,868 = 1,967,868 : x
  2. Step 2: Convert to fraction form
    900,288/1,967,868 = 1,967,868/x
  3. Step 3: Cross multiply
    900,288x = 1,967,868 × 1,967,868
  4. Step 4: Simplify right side
    900,288x = 3,872,504,465,424
  5. Step 5: Solve for x
    x = 3,872,504,465,424/900,288
  6. Step 6: Final answer
    x = 4,301,406.29

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.