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Finding the Third Proportional to 451,444 and 1,009,832

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Solution

The third proportional to 451,444 and 1,009,832 is: 2,258,886.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,444 : 1,009,832 = 1,009,832 : x
  2. Step 2: Convert to fraction form
    451,444/1,009,832 = 1,009,832/x
  3. Step 3: Cross multiply
    451,444x = 1,009,832 × 1,009,832
  4. Step 4: Simplify right side
    451,444x = 1,019,760,668,224
  5. Step 5: Solve for x
    x = 1,019,760,668,224/451,444
  6. Step 6: Final answer
    x = 2,258,886.30

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.