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Finding the Third Proportional to 2,783,206 and 6,038,724

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Solution

The third proportional to 2,783,206 and 6,038,724 is: 13,102,223.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,783,206 : 6,038,724 = 6,038,724 : x
  2. Step 2: Convert to fraction form
    2,783,206/6,038,724 = 6,038,724/x
  3. Step 3: Cross multiply
    2,783,206x = 6,038,724 × 6,038,724
  4. Step 4: Simplify right side
    2,783,206x = 36,466,187,548,176
  5. Step 5: Solve for x
    x = 36,466,187,548,176/2,783,206
  6. Step 6: Final answer
    x = 13,102,223.68

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.