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Finding the Third Proportional to 829,681 and 1,809,530

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Solution

The third proportional to 829,681 and 1,809,530 is: 3,946,575.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    829,681 : 1,809,530 = 1,809,530 : x
  2. Step 2: Convert to fraction form
    829,681/1,809,530 = 1,809,530/x
  3. Step 3: Cross multiply
    829,681x = 1,809,530 × 1,809,530
  4. Step 4: Simplify right side
    829,681x = 3,274,398,820,900
  5. Step 5: Solve for x
    x = 3,274,398,820,900/829,681
  6. Step 6: Final answer
    x = 3,946,575.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.