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Finding the Third Proportional to 519,645 and 1,116,645

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Solution

The third proportional to 519,645 and 1,116,645 is: 2,399,515.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,645 : 1,116,645 = 1,116,645 : x
  2. Step 2: Convert to fraction form
    519,645/1,116,645 = 1,116,645/x
  3. Step 3: Cross multiply
    519,645x = 1,116,645 × 1,116,645
  4. Step 4: Simplify right side
    519,645x = 1,246,896,056,025
  5. Step 5: Solve for x
    x = 1,246,896,056,025/519,645
  6. Step 6: Final answer
    x = 2,399,515.16

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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.