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Finding the Third Proportional to 1,769,906 and 2,722,011

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Solution

The third proportional to 1,769,906 and 2,722,011 is: 4,186,292.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,769,906 : 2,722,011 = 2,722,011 : x
  2. Step 2: Convert to fraction form
    1,769,906/2,722,011 = 2,722,011/x
  3. Step 3: Cross multiply
    1,769,906x = 2,722,011 × 2,722,011
  4. Step 4: Simplify right side
    1,769,906x = 7,409,343,884,121
  5. Step 5: Solve for x
    x = 7,409,343,884,121/1,769,906
  6. Step 6: Final answer
    x = 4,186,292.31

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.