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Finding the Third Proportional to 856,290 and 1,863,322

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Solution

The third proportional to 856,290 and 1,863,322 is: 4,054,664.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    856,290 : 1,863,322 = 1,863,322 : x
  2. Step 2: Convert to fraction form
    856,290/1,863,322 = 1,863,322/x
  3. Step 3: Cross multiply
    856,290x = 1,863,322 × 1,863,322
  4. Step 4: Simplify right side
    856,290x = 3,471,968,875,684
  5. Step 5: Solve for x
    x = 3,471,968,875,684/856,290
  6. Step 6: Final answer
    x = 4,054,664.75

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.