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Finding the Third Proportional to 460,158.47 and 942,619.78

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Solution

The third proportional to 460,158.47 and 942,619.78 is: 1,930,926.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,158.47 : 942,619.78 = 942,619.78 : x
  2. Step 2: Convert to fraction form
    460,158.47/942,619.78 = 942,619.78/x
  3. Step 3: Cross multiply
    460,158.47x = 942,619.78 × 942,619.78
  4. Step 4: Simplify right side
    460,158.47x = 888,532,052,003.80
  5. Step 5: Solve for x
    x = 888,532,052,003.80/460,158.47
  6. Step 6: Final answer
    x = 1,930,926.22

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.