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Finding the Third Proportional to 698,483.25 and 1,496,606.63

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Solution

The third proportional to 698,483.25 and 1,496,606.63 is: 3,206,707.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,483.25 : 1,496,606.63 = 1,496,606.63 : x
  2. Step 2: Convert to fraction form
    698,483.25/1,496,606.63 = 1,496,606.63/x
  3. Step 3: Cross multiply
    698,483.25x = 1,496,606.63 × 1,496,606.63
  4. Step 4: Simplify right side
    698,483.25x = 2,239,831,389,993.89
  5. Step 5: Solve for x
    x = 2,239,831,389,993.89/698,483.25
  6. Step 6: Final answer
    x = 3,206,707.38

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.