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Finding the Third Proportional to 1,237,636.97 and 1,969,222.64

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Solution

The third proportional to 1,237,636.97 and 1,969,222.64 is: 3,133,259.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,237,636.97 : 1,969,222.64 = 1,969,222.64 : x
  2. Step 2: Convert to fraction form
    1,237,636.97/1,969,222.64 = 1,969,222.64/x
  3. Step 3: Cross multiply
    1,237,636.97x = 1,969,222.64 × 1,969,222.64
  4. Step 4: Simplify right side
    1,237,636.97x = 3,877,837,808,350.10
  5. Step 5: Solve for x
    x = 3,877,837,808,350.10/1,237,636.97
  6. Step 6: Final answer
    x = 3,133,259.51

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.