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Finding the Third Proportional to 474,349.50 and 1,042,011

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Solution

The third proportional to 474,349.50 and 1,042,011 is: 2,289,001.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,349.50 : 1,042,011 = 1,042,011 : x
  2. Step 2: Convert to fraction form
    474,349.50/1,042,011 = 1,042,011/x
  3. Step 3: Cross multiply
    474,349.50x = 1,042,011 × 1,042,011
  4. Step 4: Simplify right side
    474,349.50x = 1,085,786,924,121
  5. Step 5: Solve for x
    x = 1,085,786,924,121/474,349.50
  6. Step 6: Final answer
    x = 2,289,001.94

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.