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Finding the Third Proportional to 697,198.50 and 1,478,101.50

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Solution

The third proportional to 697,198.50 and 1,478,101.50 is: 3,133,661.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    697,198.50 : 1,478,101.50 = 1,478,101.50 : x
  2. Step 2: Convert to fraction form
    697,198.50/1,478,101.50 = 1,478,101.50/x
  3. Step 3: Cross multiply
    697,198.50x = 1,478,101.50 × 1,478,101.50
  4. Step 4: Simplify right side
    697,198.50x = 2,184,784,044,302.25
  5. Step 5: Solve for x
    x = 2,184,784,044,302.25/697,198.50
  6. Step 6: Final answer
    x = 3,133,661.42

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.