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Finding the Third Proportional to 603,681 and 1,277,241

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Solution

The third proportional to 603,681 and 1,277,241 is: 2,702,328.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    603,681 : 1,277,241 = 1,277,241 : x
  2. Step 2: Convert to fraction form
    603,681/1,277,241 = 1,277,241/x
  3. Step 3: Cross multiply
    603,681x = 1,277,241 × 1,277,241
  4. Step 4: Simplify right side
    603,681x = 1,631,344,572,081
  5. Step 5: Solve for x
    x = 1,631,344,572,081/603,681
  6. Step 6: Final answer
    x = 2,702,328.83

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.