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Finding the Third Proportional to 2,906,538 and 6,788,823.75

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Solution

The third proportional to 2,906,538 and 6,788,823.75 is: 15,856,709.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,906,538 : 6,788,823.75 = 6,788,823.75 : x
  2. Step 2: Convert to fraction form
    2,906,538/6,788,823.75 = 6,788,823.75/x
  3. Step 3: Cross multiply
    2,906,538x = 6,788,823.75 × 6,788,823.75
  4. Step 4: Simplify right side
    2,906,538x = 46,088,127,908,564.06
  5. Step 5: Solve for x
    x = 46,088,127,908,564.06/2,906,538
  6. Step 6: Final answer
    x = 15,856,709.22

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.