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Finding the Third Proportional to 405,531,986 and 832,562,404

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Solution

The third proportional to 405,531,986 and 832,562,404 is: 1,709,261,366.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,531,986 : 832,562,404 = 832,562,404 : x
  2. Step 2: Convert to fraction form
    405,531,986/832,562,404 = 832,562,404/x
  3. Step 3: Cross multiply
    405,531,986x = 832,562,404 × 832,562,404
  4. Step 4: Simplify right side
    405,531,986x = 693,160,156,554,259,200
  5. Step 5: Solve for x
    x = 693,160,156,554,259,200/405,531,986
  6. Step 6: Final answer
    x = 1,709,261,366.51

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.