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Finding the Third Proportional to 3,886,122 and 6,095,416

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Solution

The third proportional to 3,886,122 and 6,095,416 is: 9,560,712.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,886,122 : 6,095,416 = 6,095,416 : x
  2. Step 2: Convert to fraction form
    3,886,122/6,095,416 = 6,095,416/x
  3. Step 3: Cross multiply
    3,886,122x = 6,095,416 × 6,095,416
  4. Step 4: Simplify right side
    3,886,122x = 37,154,096,213,056
  5. Step 5: Solve for x
    x = 37,154,096,213,056/3,886,122
  6. Step 6: Final answer
    x = 9,560,712.77

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.