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Finding the Third Proportional to 545,620 and 1,185,686

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Solution

The third proportional to 545,620 and 1,185,686 is: 2,576,612.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,620 : 1,185,686 = 1,185,686 : x
  2. Step 2: Convert to fraction form
    545,620/1,185,686 = 1,185,686/x
  3. Step 3: Cross multiply
    545,620x = 1,185,686 × 1,185,686
  4. Step 4: Simplify right side
    545,620x = 1,405,851,290,596
  5. Step 5: Solve for x
    x = 1,405,851,290,596/545,620
  6. Step 6: Final answer
    x = 2,576,612.46

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.