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Finding the Third Proportional to 691,519.15 and 1,417,176

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Solution

The third proportional to 691,519.15 and 1,417,176 is: 2,904,312.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    691,519.15 : 1,417,176 = 1,417,176 : x
  2. Step 2: Convert to fraction form
    691,519.15/1,417,176 = 1,417,176/x
  3. Step 3: Cross multiply
    691,519.15x = 1,417,176 × 1,417,176
  4. Step 4: Simplify right side
    691,519.15x = 2,008,387,814,976
  5. Step 5: Solve for x
    x = 2,008,387,814,976/691,519.15
  6. Step 6: Final answer
    x = 2,904,312.66

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.