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Finding the Third Proportional to 666,211 and 1,465,283

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Solution

The third proportional to 666,211 and 1,465,283 is: 3,222,784.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,211 : 1,465,283 = 1,465,283 : x
  2. Step 2: Convert to fraction form
    666,211/1,465,283 = 1,465,283/x
  3. Step 3: Cross multiply
    666,211x = 1,465,283 × 1,465,283
  4. Step 4: Simplify right side
    666,211x = 2,147,054,270,089
  5. Step 5: Solve for x
    x = 2,147,054,270,089/666,211
  6. Step 6: Final answer
    x = 3,222,784.18

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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.