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Finding the Third Proportional to 783,114 and 1,244,687

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Solution

The third proportional to 783,114 and 1,244,687 is: 1,978,314.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    783,114 : 1,244,687 = 1,244,687 : x
  2. Step 2: Convert to fraction form
    783,114/1,244,687 = 1,244,687/x
  3. Step 3: Cross multiply
    783,114x = 1,244,687 × 1,244,687
  4. Step 4: Simplify right side
    783,114x = 1,549,245,727,969
  5. Step 5: Solve for x
    x = 1,549,245,727,969/783,114
  6. Step 6: Final answer
    x = 1,978,314.43

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.