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Finding the Third Proportional to 382,882 and 842,948

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Solution

The third proportional to 382,882 and 842,948 is: 1,855,823.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,882 : 842,948 = 842,948 : x
  2. Step 2: Convert to fraction form
    382,882/842,948 = 842,948/x
  3. Step 3: Cross multiply
    382,882x = 842,948 × 842,948
  4. Step 4: Simplify right side
    382,882x = 710,561,330,704
  5. Step 5: Solve for x
    x = 710,561,330,704/382,882
  6. Step 6: Final answer
    x = 1,855,823.28

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.