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Finding the Third Proportional to 603,543 and 1,256,658

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Solution

The third proportional to 603,543 and 1,256,658 is: 2,616,531.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    603,543 : 1,256,658 = 1,256,658 : x
  2. Step 2: Convert to fraction form
    603,543/1,256,658 = 1,256,658/x
  3. Step 3: Cross multiply
    603,543x = 1,256,658 × 1,256,658
  4. Step 4: Simplify right side
    603,543x = 1,579,189,328,964
  5. Step 5: Solve for x
    x = 1,579,189,328,964/603,543
  6. Step 6: Final answer
    x = 2,616,531.60

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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.