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Finding the Third Proportional to 540,594 and 810,891

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Solution

The third proportional to 540,594 and 810,891 is: 1,216,336.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,594 : 810,891 = 810,891 : x
  2. Step 2: Convert to fraction form
    540,594/810,891 = 810,891/x
  3. Step 3: Cross multiply
    540,594x = 810,891 × 810,891
  4. Step 4: Simplify right side
    540,594x = 657,544,213,881
  5. Step 5: Solve for x
    x = 657,544,213,881/540,594
  6. Step 6: Final answer
    x = 1,216,336.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.