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Finding the Third Proportional to 829,792 and 1,330,872

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Solution

The third proportional to 829,792 and 1,330,872 is: 2,134,535.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    829,792 : 1,330,872 = 1,330,872 : x
  2. Step 2: Convert to fraction form
    829,792/1,330,872 = 1,330,872/x
  3. Step 3: Cross multiply
    829,792x = 1,330,872 × 1,330,872
  4. Step 4: Simplify right side
    829,792x = 1,771,220,280,384
  5. Step 5: Solve for x
    x = 1,771,220,280,384/829,792
  6. Step 6: Final answer
    x = 2,134,535.26

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.