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Finding the Third Proportional to 591,594.65 and 1,277,774.37

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Solution

The third proportional to 591,594.65 and 1,277,774.37 is: 2,759,841.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,594.65 : 1,277,774.37 = 1,277,774.37 : x
  2. Step 2: Convert to fraction form
    591,594.65/1,277,774.37 = 1,277,774.37/x
  3. Step 3: Cross multiply
    591,594.65x = 1,277,774.37 × 1,277,774.37
  4. Step 4: Simplify right side
    591,594.65x = 1,632,707,346,075.79
  5. Step 5: Solve for x
    x = 1,632,707,346,075.79/591,594.65
  6. Step 6: Final answer
    x = 2,759,841.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.