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Finding the Third Proportional to 2,961,223 and 6,429,830

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Solution

The third proportional to 2,961,223 and 6,429,830 is: 13,961,364.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,961,223 : 6,429,830 = 6,429,830 : x
  2. Step 2: Convert to fraction form
    2,961,223/6,429,830 = 6,429,830/x
  3. Step 3: Cross multiply
    2,961,223x = 6,429,830 × 6,429,830
  4. Step 4: Simplify right side
    2,961,223x = 41,342,713,828,900
  5. Step 5: Solve for x
    x = 41,342,713,828,900/2,961,223
  6. Step 6: Final answer
    x = 13,961,364.55

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