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Finding the Third Proportional to 677,424 and 1,039,560

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Solution

The third proportional to 677,424 and 1,039,560 is: 1,595,285.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,424 : 1,039,560 = 1,039,560 : x
  2. Step 2: Convert to fraction form
    677,424/1,039,560 = 1,039,560/x
  3. Step 3: Cross multiply
    677,424x = 1,039,560 × 1,039,560
  4. Step 4: Simplify right side
    677,424x = 1,080,684,993,600
  5. Step 5: Solve for x
    x = 1,080,684,993,600/677,424
  6. Step 6: Final answer
    x = 1,595,285.96

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.