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Finding the Third Proportional to 841,857 and 1,846,700

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Solution

The third proportional to 841,857 and 1,846,700 is: 4,050,926.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    841,857 : 1,846,700 = 1,846,700 : x
  2. Step 2: Convert to fraction form
    841,857/1,846,700 = 1,846,700/x
  3. Step 3: Cross multiply
    841,857x = 1,846,700 × 1,846,700
  4. Step 4: Simplify right side
    841,857x = 3,410,300,890,000
  5. Step 5: Solve for x
    x = 3,410,300,890,000/841,857
  6. Step 6: Final answer
    x = 4,050,926.57

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.