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Finding the Third Proportional to 940,455 and 1,453,032

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Solution

The third proportional to 940,455 and 1,453,032 is: 2,244,979.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    940,455 : 1,453,032 = 1,453,032 : x
  2. Step 2: Convert to fraction form
    940,455/1,453,032 = 1,453,032/x
  3. Step 3: Cross multiply
    940,455x = 1,453,032 × 1,453,032
  4. Step 4: Simplify right side
    940,455x = 2,111,301,993,024
  5. Step 5: Solve for x
    x = 2,111,301,993,024/940,455
  6. Step 6: Final answer
    x = 2,244,979.28

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.