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Finding the Third Proportional to 1,410,268 and 2,148,464

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Solution

The third proportional to 1,410,268 and 2,148,464 is: 3,273,064.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,410,268 : 2,148,464 = 2,148,464 : x
  2. Step 2: Convert to fraction form
    1,410,268/2,148,464 = 2,148,464/x
  3. Step 3: Cross multiply
    1,410,268x = 2,148,464 × 2,148,464
  4. Step 4: Simplify right side
    1,410,268x = 4,615,897,559,296
  5. Step 5: Solve for x
    x = 4,615,897,559,296/1,410,268
  6. Step 6: Final answer
    x = 3,273,064.10

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.