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Finding the Third Proportional to 592,236 and 1,299,695

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Solution

The third proportional to 592,236 and 1,299,695 is: 2,852,253.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,236 : 1,299,695 = 1,299,695 : x
  2. Step 2: Convert to fraction form
    592,236/1,299,695 = 1,299,695/x
  3. Step 3: Cross multiply
    592,236x = 1,299,695 × 1,299,695
  4. Step 4: Simplify right side
    592,236x = 1,689,207,093,025
  5. Step 5: Solve for x
    x = 1,689,207,093,025/592,236
  6. Step 6: Final answer
    x = 2,852,253.31

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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.