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Finding the Third Proportional to 518,097 and 1,114,924.50

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Solution

The third proportional to 518,097 and 1,114,924.50 is: 2,399,273.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,097 : 1,114,924.50 = 1,114,924.50 : x
  2. Step 2: Convert to fraction form
    518,097/1,114,924.50 = 1,114,924.50/x
  3. Step 3: Cross multiply
    518,097x = 1,114,924.50 × 1,114,924.50
  4. Step 4: Simplify right side
    518,097x = 1,243,056,640,700.25
  5. Step 5: Solve for x
    x = 1,243,056,640,700.25/518,097
  6. Step 6: Final answer
    x = 2,399,273.96

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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.