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Finding the Third Proportional to 482,967 and 1,048,897

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Solution

The third proportional to 482,967 and 1,048,897 is: 2,277,971.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,967 : 1,048,897 = 1,048,897 : x
  2. Step 2: Convert to fraction form
    482,967/1,048,897 = 1,048,897/x
  3. Step 3: Cross multiply
    482,967x = 1,048,897 × 1,048,897
  4. Step 4: Simplify right side
    482,967x = 1,100,184,916,609
  5. Step 5: Solve for x
    x = 1,100,184,916,609/482,967
  6. Step 6: Final answer
    x = 2,277,971.20

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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.