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Finding the Third Proportional to 351,954 and 829,957

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Solution

The third proportional to 351,954 and 829,957 is: 1,957,155.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,954 : 829,957 = 829,957 : x
  2. Step 2: Convert to fraction form
    351,954/829,957 = 829,957/x
  3. Step 3: Cross multiply
    351,954x = 829,957 × 829,957
  4. Step 4: Simplify right side
    351,954x = 688,828,621,849
  5. Step 5: Solve for x
    x = 688,828,621,849/351,954
  6. Step 6: Final answer
    x = 1,957,155.26

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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.