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Finding the Third Proportional to 1,296,677.11 and 2,083,412.39

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Solution

The third proportional to 1,296,677.11 and 2,083,412.39 is: 3,347,485.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,296,677.11 : 2,083,412.39 = 2,083,412.39 : x
  2. Step 2: Convert to fraction form
    1,296,677.11/2,083,412.39 = 2,083,412.39/x
  3. Step 3: Cross multiply
    1,296,677.11x = 2,083,412.39 × 2,083,412.39
  4. Step 4: Simplify right side
    1,296,677.11x = 4,340,607,189,409.78
  5. Step 5: Solve for x
    x = 4,340,607,189,409.78/1,296,677.11
  6. Step 6: Final answer
    x = 3,347,485.01

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.