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Finding the Third Proportional to 1,206,700 and 1,770,602.63

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Solution

The third proportional to 1,206,700 and 1,770,602.63 is: 2,598,022.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206,700 : 1,770,602.63 = 1,770,602.63 : x
  2. Step 2: Convert to fraction form
    1,206,700/1,770,602.63 = 1,770,602.63/x
  3. Step 3: Cross multiply
    1,206,700x = 1,770,602.63 × 1,770,602.63
  4. Step 4: Simplify right side
    1,206,700x = 3,135,033,655,656.89
  5. Step 5: Solve for x
    x = 3,135,033,655,656.89/1,206,700
  6. Step 6: Final answer
    x = 2,598,022.42

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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.