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Finding the Third Proportional to 482,979 and 1,048,922.25

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Solution

The third proportional to 482,979 and 1,048,922.25 is: 2,278,024.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,979 : 1,048,922.25 = 1,048,922.25 : x
  2. Step 2: Convert to fraction form
    482,979/1,048,922.25 = 1,048,922.25/x
  3. Step 3: Cross multiply
    482,979x = 1,048,922.25 × 1,048,922.25
  4. Step 4: Simplify right side
    482,979x = 1,100,237,886,545.06
  5. Step 5: Solve for x
    x = 1,100,237,886,545.06/482,979
  6. Step 6: Final answer
    x = 2,278,024.28

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.