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Finding the Third Proportional to 996,440 and 1,586,286

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Solution

The third proportional to 996,440 and 1,586,286 is: 2,525,293.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    996,440 : 1,586,286 = 1,586,286 : x
  2. Step 2: Convert to fraction form
    996,440/1,586,286 = 1,586,286/x
  3. Step 3: Cross multiply
    996,440x = 1,586,286 × 1,586,286
  4. Step 4: Simplify right side
    996,440x = 2,516,303,273,796
  5. Step 5: Solve for x
    x = 2,516,303,273,796/996,440
  6. Step 6: Final answer
    x = 2,525,293.32

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.