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Finding the Third Proportional to 783,118 and 1,244,693

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Solution

The third proportional to 783,118 and 1,244,693 is: 1,978,323.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    783,118 : 1,244,693 = 1,244,693 : x
  2. Step 2: Convert to fraction form
    783,118/1,244,693 = 1,244,693/x
  3. Step 3: Cross multiply
    783,118x = 1,244,693 × 1,244,693
  4. Step 4: Simplify right side
    783,118x = 1,549,260,664,249
  5. Step 5: Solve for x
    x = 1,549,260,664,249/783,118
  6. Step 6: Final answer
    x = 1,978,323.40

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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.