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Finding the Third Proportional to 2,945,700 and 6,354,936

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Solution

The third proportional to 2,945,700 and 6,354,936 is: 13,709,886.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,945,700 : 6,354,936 = 6,354,936 : x
  2. Step 2: Convert to fraction form
    2,945,700/6,354,936 = 6,354,936/x
  3. Step 3: Cross multiply
    2,945,700x = 6,354,936 × 6,354,936
  4. Step 4: Simplify right side
    2,945,700x = 40,385,211,564,096
  5. Step 5: Solve for x
    x = 40,385,211,564,096/2,945,700
  6. Step 6: Final answer
    x = 13,709,886.13

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.