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Finding the Third Proportional to 1,069,858.50 and 1,457,166

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Solution

The third proportional to 1,069,858.50 and 1,457,166 is: 1,984,685.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,069,858.50 : 1,457,166 = 1,457,166 : x
  2. Step 2: Convert to fraction form
    1,069,858.50/1,457,166 = 1,457,166/x
  3. Step 3: Cross multiply
    1,069,858.50x = 1,457,166 × 1,457,166
  4. Step 4: Simplify right side
    1,069,858.50x = 2,123,332,751,556
  5. Step 5: Solve for x
    x = 2,123,332,751,556/1,069,858.50
  6. Step 6: Final answer
    x = 1,984,685.59

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.