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Finding the Third Proportional to 482,355 and 1,028,784.38

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Solution

The third proportional to 482,355 and 1,028,784.38 is: 2,194,228.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,355 : 1,028,784.38 = 1,028,784.38 : x
  2. Step 2: Convert to fraction form
    482,355/1,028,784.38 = 1,028,784.38/x
  3. Step 3: Cross multiply
    482,355x = 1,028,784.38 × 1,028,784.38
  4. Step 4: Simplify right side
    482,355x = 1,058,397,290,244.14
  5. Step 5: Solve for x
    x = 1,058,397,290,244.14/482,355
  6. Step 6: Final answer
    x = 2,194,228.92

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.