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Finding the Third Proportional to 386,386 and 829,906

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Solution

The third proportional to 386,386 and 829,906 is: 1,782,528.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,386 : 829,906 = 829,906 : x
  2. Step 2: Convert to fraction form
    386,386/829,906 = 829,906/x
  3. Step 3: Cross multiply
    386,386x = 829,906 × 829,906
  4. Step 4: Simplify right side
    386,386x = 688,743,968,836
  5. Step 5: Solve for x
    x = 688,743,968,836/386,386
  6. Step 6: Final answer
    x = 1,782,528.27

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.