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Finding the Third Proportional to 545,292 and 1,189,728

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Solution

The third proportional to 545,292 and 1,189,728 is: 2,595,770.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,292 : 1,189,728 = 1,189,728 : x
  2. Step 2: Convert to fraction form
    545,292/1,189,728 = 1,189,728/x
  3. Step 3: Cross multiply
    545,292x = 1,189,728 × 1,189,728
  4. Step 4: Simplify right side
    545,292x = 1,415,452,713,984
  5. Step 5: Solve for x
    x = 1,415,452,713,984/545,292
  6. Step 6: Final answer
    x = 2,595,770.18

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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.