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Finding the Third Proportional to 829,136 and 1,757,913

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Solution

The third proportional to 829,136 and 1,757,913 is: 3,727,082.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    829,136 : 1,757,913 = 1,757,913 : x
  2. Step 2: Convert to fraction form
    829,136/1,757,913 = 1,757,913/x
  3. Step 3: Cross multiply
    829,136x = 1,757,913 × 1,757,913
  4. Step 4: Simplify right side
    829,136x = 3,090,258,115,569
  5. Step 5: Solve for x
    x = 3,090,258,115,569/829,136
  6. Step 6: Final answer
    x = 3,727,082.31

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.