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Finding the Third Proportional to 852,464 and 1,848,460

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Solution

The third proportional to 852,464 and 1,848,460 is: 4,008,150.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    852,464 : 1,848,460 = 1,848,460 : x
  2. Step 2: Convert to fraction form
    852,464/1,848,460 = 1,848,460/x
  3. Step 3: Cross multiply
    852,464x = 1,848,460 × 1,848,460
  4. Step 4: Simplify right side
    852,464x = 3,416,804,371,600
  5. Step 5: Solve for x
    x = 3,416,804,371,600/852,464
  6. Step 6: Final answer
    x = 4,008,150.93

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Why These Related Problems?

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