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Finding the Third Proportional to 774,671 and 1,678,024

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Solution

The third proportional to 774,671 and 1,678,024 is: 3,634,787.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    774,671 : 1,678,024 = 1,678,024 : x
  2. Step 2: Convert to fraction form
    774,671/1,678,024 = 1,678,024/x
  3. Step 3: Cross multiply
    774,671x = 1,678,024 × 1,678,024
  4. Step 4: Simplify right side
    774,671x = 2,815,764,544,576
  5. Step 5: Solve for x
    x = 2,815,764,544,576/774,671
  6. Step 6: Final answer
    x = 3,634,787.60

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.