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Finding the Third Proportional to 420,471,596 and 905,640,525

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Solution

The third proportional to 420,471,596 and 905,640,525 is: 1,950,630,597.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,471,596 : 905,640,525 = 905,640,525 : x
  2. Step 2: Convert to fraction form
    420,471,596/905,640,525 = 905,640,525/x
  3. Step 3: Cross multiply
    420,471,596x = 905,640,525 × 905,640,525
  4. Step 4: Simplify right side
    420,471,596x = 820,184,760,522,275,584
  5. Step 5: Solve for x
    x = 820,184,760,522,275,584/420,471,596
  6. Step 6: Final answer
    x = 1,950,630,597.46

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.