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Finding the Third Proportional to 965,340 and 1,420,123.50

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Solution

The third proportional to 965,340 and 1,420,123.50 is: 2,089,161.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    965,340 : 1,420,123.50 = 1,420,123.50 : x
  2. Step 2: Convert to fraction form
    965,340/1,420,123.50 = 1,420,123.50/x
  3. Step 3: Cross multiply
    965,340x = 1,420,123.50 × 1,420,123.50
  4. Step 4: Simplify right side
    965,340x = 2,016,750,755,252.25
  5. Step 5: Solve for x
    x = 2,016,750,755,252.25/965,340
  6. Step 6: Final answer
    x = 2,089,161.08

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.