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Finding the Third Proportional to 1,189,482.75 and 1,915,240.50

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Solution

The third proportional to 1,189,482.75 and 1,915,240.50 is: 3,083,816.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,189,482.75 : 1,915,240.50 = 1,915,240.50 : x
  2. Step 2: Convert to fraction form
    1,189,482.75/1,915,240.50 = 1,915,240.50/x
  3. Step 3: Cross multiply
    1,189,482.75x = 1,915,240.50 × 1,915,240.50
  4. Step 4: Simplify right side
    1,189,482.75x = 3,668,146,172,840.25
  5. Step 5: Solve for x
    x = 3,668,146,172,840.25/1,189,482.75
  6. Step 6: Final answer
    x = 3,083,816.20

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.