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Finding the Third Proportional to 629,785.13 and 1,349,416.13

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Solution

The third proportional to 629,785.13 and 1,349,416.13 is: 2,891,341.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    629,785.13 : 1,349,416.13 = 1,349,416.13 : x
  2. Step 2: Convert to fraction form
    629,785.13/1,349,416.13 = 1,349,416.13/x
  3. Step 3: Cross multiply
    629,785.13x = 1,349,416.13 × 1,349,416.13
  4. Step 4: Simplify right side
    629,785.13x = 1,820,923,878,410.02
  5. Step 5: Solve for x
    x = 1,820,923,878,410.02/629,785.13
  6. Step 6: Final answer
    x = 2,891,341.52

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.