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Finding the Third Proportional to 965,768 and 1,420,620

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Solution

The third proportional to 965,768 and 1,420,620 is: 2,089,695.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    965,768 : 1,420,620 = 1,420,620 : x
  2. Step 2: Convert to fraction form
    965,768/1,420,620 = 1,420,620/x
  3. Step 3: Cross multiply
    965,768x = 1,420,620 × 1,420,620
  4. Step 4: Simplify right side
    965,768x = 2,018,161,184,400
  5. Step 5: Solve for x
    x = 2,018,161,184,400/965,768
  6. Step 6: Final answer
    x = 2,089,695.65

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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.