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Finding the Third Proportional to 877,824 and 1,283,445

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Solution

The third proportional to 877,824 and 1,283,445 is: 1,876,493.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    877,824 : 1,283,445 = 1,283,445 : x
  2. Step 2: Convert to fraction form
    877,824/1,283,445 = 1,283,445/x
  3. Step 3: Cross multiply
    877,824x = 1,283,445 × 1,283,445
  4. Step 4: Simplify right side
    877,824x = 1,647,231,068,025
  5. Step 5: Solve for x
    x = 1,647,231,068,025/877,824
  6. Step 6: Final answer
    x = 1,876,493.54

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.