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Finding the Third Proportional to 2,105,343 and 3,197,415.75

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Solution

The third proportional to 2,105,343 and 3,197,415.75 is: 4,855,962.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,105,343 : 3,197,415.75 = 3,197,415.75 : x
  2. Step 2: Convert to fraction form
    2,105,343/3,197,415.75 = 3,197,415.75/x
  3. Step 3: Cross multiply
    2,105,343x = 3,197,415.75 × 3,197,415.75
  4. Step 4: Simplify right side
    2,105,343x = 10,223,467,478,348.06
  5. Step 5: Solve for x
    x = 10,223,467,478,348.06/2,105,343
  6. Step 6: Final answer
    x = 4,855,962.89

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.