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Finding the Third Proportional to 2,838,828 and 6,227,261

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Solution

The third proportional to 2,838,828 and 6,227,261 is: 13,660,137.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,838,828 : 6,227,261 = 6,227,261 : x
  2. Step 2: Convert to fraction form
    2,838,828/6,227,261 = 6,227,261/x
  3. Step 3: Cross multiply
    2,838,828x = 6,227,261 × 6,227,261
  4. Step 4: Simplify right side
    2,838,828x = 38,778,779,562,121
  5. Step 5: Solve for x
    x = 38,778,779,562,121/2,838,828
  6. Step 6: Final answer
    x = 13,660,137.06

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.