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Finding the Third Proportional to 1,237,204.13 and 1,863,722.67

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Solution

The third proportional to 1,237,204.13 and 1,863,722.67 is: 2,807,509.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,237,204.13 : 1,863,722.67 = 1,863,722.67 : x
  2. Step 2: Convert to fraction form
    1,237,204.13/1,863,722.67 = 1,863,722.67/x
  3. Step 3: Cross multiply
    1,237,204.13x = 1,863,722.67 × 1,863,722.67
  4. Step 4: Simplify right side
    1,237,204.13x = 3,473,462,197,660.89
  5. Step 5: Solve for x
    x = 3,473,462,197,660.89/1,237,204.13
  6. Step 6: Final answer
    x = 2,807,509.39

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.