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Finding the Third Proportional to 633,537 and 1,277,442

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Solution

The third proportional to 633,537 and 1,277,442 is: 2,575,789.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,537 : 1,277,442 = 1,277,442 : x
  2. Step 2: Convert to fraction form
    633,537/1,277,442 = 1,277,442/x
  3. Step 3: Cross multiply
    633,537x = 1,277,442 × 1,277,442
  4. Step 4: Simplify right side
    633,537x = 1,631,858,063,364
  5. Step 5: Solve for x
    x = 1,631,858,063,364/633,537
  6. Step 6: Final answer
    x = 2,575,789.68

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.