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Finding the Third Proportional to 760,939.31 and 1,769,419.69

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Solution

The third proportional to 760,939.31 and 1,769,419.69 is: 4,114,449.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    760,939.31 : 1,769,419.69 = 1,769,419.69 : x
  2. Step 2: Convert to fraction form
    760,939.31/1,769,419.69 = 1,769,419.69/x
  3. Step 3: Cross multiply
    760,939.31x = 1,769,419.69 × 1,769,419.69
  4. Step 4: Simplify right side
    760,939.31x = 3,130,846,030,512.60
  5. Step 5: Solve for x
    x = 3,130,846,030,512.60/760,939.31
  6. Step 6: Final answer
    x = 4,114,449.05

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These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.