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Finding the Third Proportional to 585,648 and 1,222,128

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Solution

The third proportional to 585,648 and 1,222,128 is: 2,550,332.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,648 : 1,222,128 = 1,222,128 : x
  2. Step 2: Convert to fraction form
    585,648/1,222,128 = 1,222,128/x
  3. Step 3: Cross multiply
    585,648x = 1,222,128 × 1,222,128
  4. Step 4: Simplify right side
    585,648x = 1,493,596,848,384
  5. Step 5: Solve for x
    x = 1,493,596,848,384/585,648
  6. Step 6: Final answer
    x = 2,550,332.02

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.