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Finding the Third Proportional to 498,879 and 1,130,944

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Solution

The third proportional to 498,879 and 1,130,944 is: 2,563,816.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,879 : 1,130,944 = 1,130,944 : x
  2. Step 2: Convert to fraction form
    498,879/1,130,944 = 1,130,944/x
  3. Step 3: Cross multiply
    498,879x = 1,130,944 × 1,130,944
  4. Step 4: Simplify right side
    498,879x = 1,279,034,331,136
  5. Step 5: Solve for x
    x = 1,279,034,331,136/498,879
  6. Step 6: Final answer
    x = 2,563,816.74

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.