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Finding the Third Proportional to 603,534 and 1,256,640

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Solution

The third proportional to 603,534 and 1,256,640 is: 2,616,495.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    603,534 : 1,256,640 = 1,256,640 : x
  2. Step 2: Convert to fraction form
    603,534/1,256,640 = 1,256,640/x
  3. Step 3: Cross multiply
    603,534x = 1,256,640 × 1,256,640
  4. Step 4: Simplify right side
    603,534x = 1,579,144,089,600
  5. Step 5: Solve for x
    x = 1,579,144,089,600/603,534
  6. Step 6: Final answer
    x = 2,616,495.66

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.