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Finding the Third Proportional to 1,733,206.50 and 2,535,623

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Solution

The third proportional to 1,733,206.50 and 2,535,623 is: 3,709,531.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,733,206.50 : 2,535,623 = 2,535,623 : x
  2. Step 2: Convert to fraction form
    1,733,206.50/2,535,623 = 2,535,623/x
  3. Step 3: Cross multiply
    1,733,206.50x = 2,535,623 × 2,535,623
  4. Step 4: Simplify right side
    1,733,206.50x = 6,429,383,998,129
  5. Step 5: Solve for x
    x = 6,429,383,998,129/1,733,206.50
  6. Step 6: Final answer
    x = 3,709,531.44

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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.