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Finding the Third Proportional to 1,577,273.75 and 3,431,339.63

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Solution

The third proportional to 1,577,273.75 and 3,431,339.63 is: 7,464,837.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,577,273.75 : 3,431,339.63 = 3,431,339.63 : x
  2. Step 2: Convert to fraction form
    1,577,273.75/3,431,339.63 = 3,431,339.63/x
  3. Step 3: Cross multiply
    1,577,273.75x = 3,431,339.63 × 3,431,339.63
  4. Step 4: Simplify right side
    1,577,273.75x = 11,774,091,622,095.14
  5. Step 5: Solve for x
    x = 11,774,091,622,095.14/1,577,273.75
  6. Step 6: Final answer
    x = 7,464,837.11

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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.