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Finding the Third Proportional to 852,372 and 1,323,381

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Solution

The third proportional to 852,372 and 1,323,381 is: 2,054,663.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    852,372 : 1,323,381 = 1,323,381 : x
  2. Step 2: Convert to fraction form
    852,372/1,323,381 = 1,323,381/x
  3. Step 3: Cross multiply
    852,372x = 1,323,381 × 1,323,381
  4. Step 4: Simplify right side
    852,372x = 1,751,337,271,161
  5. Step 5: Solve for x
    x = 1,751,337,271,161/852,372
  6. Step 6: Final answer
    x = 2,054,663.07

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.