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Finding the Third Proportional to 2,934,966 and 6,358,444

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Solution

The third proportional to 2,934,966 and 6,358,444 is: 13,775,222.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,934,966 : 6,358,444 = 6,358,444 : x
  2. Step 2: Convert to fraction form
    2,934,966/6,358,444 = 6,358,444/x
  3. Step 3: Cross multiply
    2,934,966x = 6,358,444 × 6,358,444
  4. Step 4: Simplify right side
    2,934,966x = 40,429,810,101,136
  5. Step 5: Solve for x
    x = 40,429,810,101,136/2,934,966
  6. Step 6: Final answer
    x = 13,775,222.64

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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.