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Finding the Third Proportional to 3,193,090 and 6,828,932

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Solution

The third proportional to 3,193,090 and 6,828,932 is: 14,604,759.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,193,090 : 6,828,932 = 6,828,932 : x
  2. Step 2: Convert to fraction form
    3,193,090/6,828,932 = 6,828,932/x
  3. Step 3: Cross multiply
    3,193,090x = 6,828,932 × 6,828,932
  4. Step 4: Simplify right side
    3,193,090x = 46,634,312,260,624
  5. Step 5: Solve for x
    x = 46,634,312,260,624/3,193,090
  6. Step 6: Final answer
    x = 14,604,759.73

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.