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Finding the Third Proportional to 351,906 and 829,905

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Solution

The third proportional to 351,906 and 829,905 is: 1,957,176.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,906 : 829,905 = 829,905 : x
  2. Step 2: Convert to fraction form
    351,906/829,905 = 829,905/x
  3. Step 3: Cross multiply
    351,906x = 829,905 × 829,905
  4. Step 4: Simplify right side
    351,906x = 688,742,309,025
  5. Step 5: Solve for x
    x = 688,742,309,025/351,906
  6. Step 6: Final answer
    x = 1,957,176.94

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.