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Finding the Third Proportional to 400,570,941 and 844,182,039

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Solution

The third proportional to 400,570,941 and 844,182,039 is: 1,779,068,928.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,570,941 : 844,182,039 = 844,182,039 : x
  2. Step 2: Convert to fraction form
    400,570,941/844,182,039 = 844,182,039/x
  3. Step 3: Cross multiply
    400,570,941x = 844,182,039 × 844,182,039
  4. Step 4: Simplify right side
    400,570,941x = 712,643,314,970,197,504
  5. Step 5: Solve for x
    x = 712,643,314,970,197,504/400,570,941
  6. Step 6: Final answer
    x = 1,779,068,928.94

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.