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Finding the Third Proportional to 603,468 and 1,256,541

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Solution

The third proportional to 603,468 and 1,256,541 is: 2,616,369.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    603,468 : 1,256,541 = 1,256,541 : x
  2. Step 2: Convert to fraction form
    603,468/1,256,541 = 1,256,541/x
  3. Step 3: Cross multiply
    603,468x = 1,256,541 × 1,256,541
  4. Step 4: Simplify right side
    603,468x = 1,578,895,284,681
  5. Step 5: Solve for x
    x = 1,578,895,284,681/603,468
  6. Step 6: Final answer
    x = 2,616,369.53

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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.