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Finding the Third Proportional to 627,819 and 1,362,663.75

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Solution

The third proportional to 627,819 and 1,362,663.75 is: 2,957,623.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    627,819 : 1,362,663.75 = 1,362,663.75 : x
  2. Step 2: Convert to fraction form
    627,819/1,362,663.75 = 1,362,663.75/x
  3. Step 3: Cross multiply
    627,819x = 1,362,663.75 × 1,362,663.75
  4. Step 4: Simplify right side
    627,819x = 1,856,852,495,564.06
  5. Step 5: Solve for x
    x = 1,856,852,495,564.06/627,819
  6. Step 6: Final answer
    x = 2,957,623.93

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.