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Finding the Third Proportional to 515,280 and 1,045,116

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Solution

The third proportional to 515,280 and 1,045,116 is: 2,119,755.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,280 : 1,045,116 = 1,045,116 : x
  2. Step 2: Convert to fraction form
    515,280/1,045,116 = 1,045,116/x
  3. Step 3: Cross multiply
    515,280x = 1,045,116 × 1,045,116
  4. Step 4: Simplify right side
    515,280x = 1,092,267,453,456
  5. Step 5: Solve for x
    x = 1,092,267,453,456/515,280
  6. Step 6: Final answer
    x = 2,119,755.19

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.