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Finding the Third Proportional to 1,424,352.09 and 3,294,544.64

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Solution

The third proportional to 1,424,352.09 and 3,294,544.64 is: 7,620,323.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,424,352.09 : 3,294,544.64 = 3,294,544.64 : x
  2. Step 2: Convert to fraction form
    1,424,352.09/3,294,544.64 = 3,294,544.64/x
  3. Step 3: Cross multiply
    1,424,352.09x = 3,294,544.64 × 3,294,544.64
  4. Step 4: Simplify right side
    1,424,352.09x = 10,854,024,389,070.91
  5. Step 5: Solve for x
    x = 10,854,024,389,070.91/1,424,352.09
  6. Step 6: Final answer
    x = 7,620,323.96

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.