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Finding the Third Proportional to 1,824,201 and 4,222,541.25

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Solution

The third proportional to 1,824,201 and 4,222,541.25 is: 9,774,062.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,824,201 : 4,222,541.25 = 4,222,541.25 : x
  2. Step 2: Convert to fraction form
    1,824,201/4,222,541.25 = 4,222,541.25/x
  3. Step 3: Cross multiply
    1,824,201x = 4,222,541.25 × 4,222,541.25
  4. Step 4: Simplify right side
    1,824,201x = 17,829,854,607,951.56
  5. Step 5: Solve for x
    x = 17,829,854,607,951.56/1,824,201
  6. Step 6: Final answer
    x = 9,774,062.51

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.