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Finding the Third Proportional to 519,866 and 1,117,090

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Solution

The third proportional to 519,866 and 1,117,090 is: 2,400,407.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,866 : 1,117,090 = 1,117,090 : x
  2. Step 2: Convert to fraction form
    519,866/1,117,090 = 1,117,090/x
  3. Step 3: Cross multiply
    519,866x = 1,117,090 × 1,117,090
  4. Step 4: Simplify right side
    519,866x = 1,247,890,068,100
  5. Step 5: Solve for x
    x = 1,247,890,068,100/519,866
  6. Step 6: Final answer
    x = 2,400,407.16

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.