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Finding the Third Proportional to 829,020 and 1,720,356

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Solution

The third proportional to 829,020 and 1,720,356 is: 3,570,028.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    829,020 : 1,720,356 = 1,720,356 : x
  2. Step 2: Convert to fraction form
    829,020/1,720,356 = 1,720,356/x
  3. Step 3: Cross multiply
    829,020x = 1,720,356 × 1,720,356
  4. Step 4: Simplify right side
    829,020x = 2,959,624,766,736
  5. Step 5: Solve for x
    x = 2,959,624,766,736/829,020
  6. Step 6: Final answer
    x = 3,570,028.19

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.