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Finding the Third Proportional to 649,152 and 1,401,984

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Solution

The third proportional to 649,152 and 1,401,984 is: 3,027,887.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,152 : 1,401,984 = 1,401,984 : x
  2. Step 2: Convert to fraction form
    649,152/1,401,984 = 1,401,984/x
  3. Step 3: Cross multiply
    649,152x = 1,401,984 × 1,401,984
  4. Step 4: Simplify right side
    649,152x = 1,965,559,136,256
  5. Step 5: Solve for x
    x = 1,965,559,136,256/649,152
  6. Step 6: Final answer
    x = 3,027,887.36

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