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Finding the Third Proportional to 771,583.85 and 1,690,277.63

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Solution

The third proportional to 771,583.85 and 1,690,277.63 is: 3,702,823.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    771,583.85 : 1,690,277.63 = 1,690,277.63 : x
  2. Step 2: Convert to fraction form
    771,583.85/1,690,277.63 = 1,690,277.63/x
  3. Step 3: Cross multiply
    771,583.85x = 1,690,277.63 × 1,690,277.63
  4. Step 4: Simplify right side
    771,583.85x = 2,857,038,449,575.64
  5. Step 5: Solve for x
    x = 2,857,038,449,575.64/771,583.85
  6. Step 6: Final answer
    x = 3,702,823.02

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.