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Finding the Third Proportional to 768,414 and 1,234,633.50

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Solution

The third proportional to 768,414 and 1,234,633.50 is: 1,983,722.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,414 : 1,234,633.50 = 1,234,633.50 : x
  2. Step 2: Convert to fraction form
    768,414/1,234,633.50 = 1,234,633.50/x
  3. Step 3: Cross multiply
    768,414x = 1,234,633.50 × 1,234,633.50
  4. Step 4: Simplify right side
    768,414x = 1,524,319,879,322.25
  5. Step 5: Solve for x
    x = 1,524,319,879,322.25/768,414
  6. Step 6: Final answer
    x = 1,983,722.16

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.