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Finding the Third Proportional to 789,807 and 1,237,698

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Solution

The third proportional to 789,807 and 1,237,698 is: 1,939,583.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    789,807 : 1,237,698 = 1,237,698 : x
  2. Step 2: Convert to fraction form
    789,807/1,237,698 = 1,237,698/x
  3. Step 3: Cross multiply
    789,807x = 1,237,698 × 1,237,698
  4. Step 4: Simplify right side
    789,807x = 1,531,896,339,204
  5. Step 5: Solve for x
    x = 1,531,896,339,204/789,807
  6. Step 6: Final answer
    x = 1,939,583.14

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.