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Finding the Third Proportional to 545,834 and 1,180,444

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Solution

The third proportional to 545,834 and 1,180,444 is: 2,552,878.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,834 : 1,180,444 = 1,180,444 : x
  2. Step 2: Convert to fraction form
    545,834/1,180,444 = 1,180,444/x
  3. Step 3: Cross multiply
    545,834x = 1,180,444 × 1,180,444
  4. Step 4: Simplify right side
    545,834x = 1,393,448,037,136
  5. Step 5: Solve for x
    x = 1,393,448,037,136/545,834
  6. Step 6: Final answer
    x = 2,552,878.78

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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.