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Finding the Third Proportional to 477,114.75 and 1,028,958

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Solution

The third proportional to 477,114.75 and 1,028,958 is: 2,219,077.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,114.75 : 1,028,958 = 1,028,958 : x
  2. Step 2: Convert to fraction form
    477,114.75/1,028,958 = 1,028,958/x
  3. Step 3: Cross multiply
    477,114.75x = 1,028,958 × 1,028,958
  4. Step 4: Simplify right side
    477,114.75x = 1,058,754,565,764
  5. Step 5: Solve for x
    x = 1,058,754,565,764/477,114.75
  6. Step 6: Final answer
    x = 2,219,077.41

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.