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Finding the Third Proportional to 623,884 and 1,277,270

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Solution

The third proportional to 623,884 and 1,277,270 is: 2,614,939.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,884 : 1,277,270 = 1,277,270 : x
  2. Step 2: Convert to fraction form
    623,884/1,277,270 = 1,277,270/x
  3. Step 3: Cross multiply
    623,884x = 1,277,270 × 1,277,270
  4. Step 4: Simplify right side
    623,884x = 1,631,418,652,900
  5. Step 5: Solve for x
    x = 1,631,418,652,900/623,884
  6. Step 6: Final answer
    x = 2,614,939.08

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.