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Finding the Third Proportional to 769,140.56 and 1,683,215.44

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Solution

The third proportional to 769,140.56 and 1,683,215.44 is: 3,683,610.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    769,140.56 : 1,683,215.44 = 1,683,215.44 : x
  2. Step 2: Convert to fraction form
    769,140.56/1,683,215.44 = 1,683,215.44/x
  3. Step 3: Cross multiply
    769,140.56x = 1,683,215.44 × 1,683,215.44
  4. Step 4: Simplify right side
    769,140.56x = 2,833,214,209,038.32
  5. Step 5: Solve for x
    x = 2,833,214,209,038.32/769,140.56
  6. Step 6: Final answer
    x = 3,683,610.44

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Why These Related Problems?

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