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Finding the Third Proportional to 543,284 and 1,180,064

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Solution

The third proportional to 543,284 and 1,180,064 is: 2,563,210.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,284 : 1,180,064 = 1,180,064 : x
  2. Step 2: Convert to fraction form
    543,284/1,180,064 = 1,180,064/x
  3. Step 3: Cross multiply
    543,284x = 1,180,064 × 1,180,064
  4. Step 4: Simplify right side
    543,284x = 1,392,551,044,096
  5. Step 5: Solve for x
    x = 1,392,551,044,096/543,284
  6. Step 6: Final answer
    x = 2,563,210.11

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.