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Finding the Third Proportional to 840,213 and 1,843,695

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Solution

The third proportional to 840,213 and 1,843,695 is: 4,045,654.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    840,213 : 1,843,695 = 1,843,695 : x
  2. Step 2: Convert to fraction form
    840,213/1,843,695 = 1,843,695/x
  3. Step 3: Cross multiply
    840,213x = 1,843,695 × 1,843,695
  4. Step 4: Simplify right side
    840,213x = 3,399,211,253,025
  5. Step 5: Solve for x
    x = 3,399,211,253,025/840,213
  6. Step 6: Final answer
    x = 4,045,654.20

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Why These Related Problems?

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