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Finding the Third Proportional to 1,268,764.50 and 1,967,574

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Solution

The third proportional to 1,268,764.50 and 1,967,574 is: 3,051,273.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,268,764.50 : 1,967,574 = 1,967,574 : x
  2. Step 2: Convert to fraction form
    1,268,764.50/1,967,574 = 1,967,574/x
  3. Step 3: Cross multiply
    1,268,764.50x = 1,967,574 × 1,967,574
  4. Step 4: Simplify right side
    1,268,764.50x = 3,871,347,445,476
  5. Step 5: Solve for x
    x = 3,871,347,445,476/1,268,764.50
  6. Step 6: Final answer
    x = 3,051,273.46

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.