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Finding the Third Proportional to 4,255,658 and 6,368,409

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Solution

The third proportional to 4,255,658 and 6,368,409 is: 9,530,049.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,255,658 : 6,368,409 = 6,368,409 : x
  2. Step 2: Convert to fraction form
    4,255,658/6,368,409 = 6,368,409/x
  3. Step 3: Cross multiply
    4,255,658x = 6,368,409 × 6,368,409
  4. Step 4: Simplify right side
    4,255,658x = 40,556,633,191,281
  5. Step 5: Solve for x
    x = 40,556,633,191,281/4,255,658
  6. Step 6: Final answer
    x = 9,530,049.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.