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Finding the Third Proportional to 769,043 and 1,656,416

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Solution

The third proportional to 769,043 and 1,656,416 is: 3,567,699.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    769,043 : 1,656,416 = 1,656,416 : x
  2. Step 2: Convert to fraction form
    769,043/1,656,416 = 1,656,416/x
  3. Step 3: Cross multiply
    769,043x = 1,656,416 × 1,656,416
  4. Step 4: Simplify right side
    769,043x = 2,743,713,965,056
  5. Step 5: Solve for x
    x = 2,743,713,965,056/769,043
  6. Step 6: Final answer
    x = 3,567,699.03

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.