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Finding the Third Proportional to 1,282,012.31 and 2,735,618.06

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Solution

The third proportional to 1,282,012.31 and 2,735,618.06 is: 5,837,390.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,282,012.31 : 2,735,618.06 = 2,735,618.06 : x
  2. Step 2: Convert to fraction form
    1,282,012.31/2,735,618.06 = 2,735,618.06/x
  3. Step 3: Cross multiply
    1,282,012.31x = 2,735,618.06 × 2,735,618.06
  4. Step 4: Simplify right side
    1,282,012.31x = 7,483,606,183,876.25
  5. Step 5: Solve for x
    x = 7,483,606,183,876.25/1,282,012.31
  6. Step 6: Final answer
    x = 5,837,390.26

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.