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Finding the Third Proportional to 1,525,189.50 and 2,168,296.59

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Solution

The third proportional to 1,525,189.50 and 2,168,296.59 is: 3,082,574.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,525,189.50 : 2,168,296.59 = 2,168,296.59 : x
  2. Step 2: Convert to fraction form
    1,525,189.50/2,168,296.59 = 2,168,296.59/x
  3. Step 3: Cross multiply
    1,525,189.50x = 2,168,296.59 × 2,168,296.59
  4. Step 4: Simplify right side
    1,525,189.50x = 4,701,510,118,467.85
  5. Step 5: Solve for x
    x = 4,701,510,118,467.85/1,525,189.50
  6. Step 6: Final answer
    x = 3,082,574.41

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.