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Finding the Third Proportional to 486,159 and 735,946

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Solution

The third proportional to 486,159 and 735,946 is: 1,114,072.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,159 : 735,946 = 735,946 : x
  2. Step 2: Convert to fraction form
    486,159/735,946 = 735,946/x
  3. Step 3: Cross multiply
    486,159x = 735,946 × 735,946
  4. Step 4: Simplify right side
    486,159x = 541,616,514,916
  5. Step 5: Solve for x
    x = 541,616,514,916/486,159
  6. Step 6: Final answer
    x = 1,114,072.79

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.