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Finding the Third Proportional to 607,164 and 905,823

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Solution

The third proportional to 607,164 and 905,823 is: 1,351,389.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    607,164 : 905,823 = 905,823 : x
  2. Step 2: Convert to fraction form
    607,164/905,823 = 905,823/x
  3. Step 3: Cross multiply
    607,164x = 905,823 × 905,823
  4. Step 4: Simplify right side
    607,164x = 820,515,307,329
  5. Step 5: Solve for x
    x = 820,515,307,329/607,164
  6. Step 6: Final answer
    x = 1,351,389.92

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.