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Finding the Third Proportional to 2,961,222 and 6,429,828

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Solution

The third proportional to 2,961,222 and 6,429,828 is: 13,961,360.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,961,222 : 6,429,828 = 6,429,828 : x
  2. Step 2: Convert to fraction form
    2,961,222/6,429,828 = 6,429,828/x
  3. Step 3: Cross multiply
    2,961,222x = 6,429,828 × 6,429,828
  4. Step 4: Simplify right side
    2,961,222x = 41,342,688,109,584
  5. Step 5: Solve for x
    x = 41,342,688,109,584/2,961,222
  6. Step 6: Final answer
    x = 13,961,360.58

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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.