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Finding the Third Proportional to 698,168 and 1,507,728

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Solution

The third proportional to 698,168 and 1,507,728 is: 3,256,012.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,168 : 1,507,728 = 1,507,728 : x
  2. Step 2: Convert to fraction form
    698,168/1,507,728 = 1,507,728/x
  3. Step 3: Cross multiply
    698,168x = 1,507,728 × 1,507,728
  4. Step 4: Simplify right side
    698,168x = 2,273,243,721,984
  5. Step 5: Solve for x
    x = 2,273,243,721,984/698,168
  6. Step 6: Final answer
    x = 3,256,012.48

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.