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Finding the Third Proportional to 1,273,742 and 1,858,103.50

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Solution

The third proportional to 1,273,742 and 1,858,103.50 is: 2,710,555.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,273,742 : 1,858,103.50 = 1,858,103.50 : x
  2. Step 2: Convert to fraction form
    1,273,742/1,858,103.50 = 1,858,103.50/x
  3. Step 3: Cross multiply
    1,273,742x = 1,858,103.50 × 1,858,103.50
  4. Step 4: Simplify right side
    1,273,742x = 3,452,548,616,712.25
  5. Step 5: Solve for x
    x = 3,452,548,616,712.25/1,273,742
  6. Step 6: Final answer
    x = 2,710,555.68

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.