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Finding the Third Proportional to 1,029,308 and 2,268,032

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Solution

The third proportional to 1,029,308 and 2,268,032 is: 4,997,502.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029,308 : 2,268,032 = 2,268,032 : x
  2. Step 2: Convert to fraction form
    1,029,308/2,268,032 = 2,268,032/x
  3. Step 3: Cross multiply
    1,029,308x = 2,268,032 × 2,268,032
  4. Step 4: Simplify right side
    1,029,308x = 5,143,969,153,024
  5. Step 5: Solve for x
    x = 5,143,969,153,024/1,029,308
  6. Step 6: Final answer
    x = 4,997,502.35

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.