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Finding the Third Proportional to 775,842.75 and 1,210,926.38

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Solution

The third proportional to 775,842.75 and 1,210,926.38 is: 1,889,999.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    775,842.75 : 1,210,926.38 = 1,210,926.38 : x
  2. Step 2: Convert to fraction form
    775,842.75/1,210,926.38 = 1,210,926.38/x
  3. Step 3: Cross multiply
    775,842.75x = 1,210,926.38 × 1,210,926.38
  4. Step 4: Simplify right side
    775,842.75x = 1,466,342,685,670.64
  5. Step 5: Solve for x
    x = 1,466,342,685,670.64/775,842.75
  6. Step 6: Final answer
    x = 1,889,999.86

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.