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Finding the Third Proportional to 436,164 and 953,337

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Solution

The third proportional to 436,164 and 953,337 is: 2,083,737.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,164 : 953,337 = 953,337 : x
  2. Step 2: Convert to fraction form
    436,164/953,337 = 953,337/x
  3. Step 3: Cross multiply
    436,164x = 953,337 × 953,337
  4. Step 4: Simplify right side
    436,164x = 908,851,435,569
  5. Step 5: Solve for x
    x = 908,851,435,569/436,164
  6. Step 6: Final answer
    x = 2,083,737.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.