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Finding the Third Proportional to 698,043 and 1,519,692

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Solution

The third proportional to 698,043 and 1,519,692 is: 3,308,483.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,043 : 1,519,692 = 1,519,692 : x
  2. Step 2: Convert to fraction form
    698,043/1,519,692 = 1,519,692/x
  3. Step 3: Cross multiply
    698,043x = 1,519,692 × 1,519,692
  4. Step 4: Simplify right side
    698,043x = 2,309,463,774,864
  5. Step 5: Solve for x
    x = 2,309,463,774,864/698,043
  6. Step 6: Final answer
    x = 3,308,483.54

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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.