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Finding the Third Proportional to 642,956 and 1,382,686

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Solution

The third proportional to 642,956 and 1,382,686 is: 2,973,485.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,956 : 1,382,686 = 1,382,686 : x
  2. Step 2: Convert to fraction form
    642,956/1,382,686 = 1,382,686/x
  3. Step 3: Cross multiply
    642,956x = 1,382,686 × 1,382,686
  4. Step 4: Simplify right side
    642,956x = 1,911,820,574,596
  5. Step 5: Solve for x
    x = 1,911,820,574,596/642,956
  6. Step 6: Final answer
    x = 2,973,485.86

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.