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Finding the Third Proportional to 610,794 and 1,330,011

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Solution

The third proportional to 610,794 and 1,330,011 is: 2,896,114.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,794 : 1,330,011 = 1,330,011 : x
  2. Step 2: Convert to fraction form
    610,794/1,330,011 = 1,330,011/x
  3. Step 3: Cross multiply
    610,794x = 1,330,011 × 1,330,011
  4. Step 4: Simplify right side
    610,794x = 1,768,929,260,121
  5. Step 5: Solve for x
    x = 1,768,929,260,121/610,794
  6. Step 6: Final answer
    x = 2,896,114.34

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.