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Finding the Third Proportional to 619,354.13 and 905,135.63

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Solution

The third proportional to 619,354.13 and 905,135.63 is: 1,322,782.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,354.13 : 905,135.63 = 905,135.63 : x
  2. Step 2: Convert to fraction form
    619,354.13/905,135.63 = 905,135.63/x
  3. Step 3: Cross multiply
    619,354.13x = 905,135.63 × 905,135.63
  4. Step 4: Simplify right side
    619,354.13x = 819,270,499,644.14
  5. Step 5: Solve for x
    x = 819,270,499,644.14/619,354.13
  6. Step 6: Final answer
    x = 1,322,782.02

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.