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Finding the Third Proportional to 482,931 and 1,048,905

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Solution

The third proportional to 482,931 and 1,048,905 is: 2,278,175.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,931 : 1,048,905 = 1,048,905 : x
  2. Step 2: Convert to fraction form
    482,931/1,048,905 = 1,048,905/x
  3. Step 3: Cross multiply
    482,931x = 1,048,905 × 1,048,905
  4. Step 4: Simplify right side
    482,931x = 1,100,201,699,025
  5. Step 5: Solve for x
    x = 1,100,201,699,025/482,931
  6. Step 6: Final answer
    x = 2,278,175.76

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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.