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Finding the Third Proportional to 683,824 and 1,488,053

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Solution

The third proportional to 683,824 and 1,488,053 is: 3,238,116.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,824 : 1,488,053 = 1,488,053 : x
  2. Step 2: Convert to fraction form
    683,824/1,488,053 = 1,488,053/x
  3. Step 3: Cross multiply
    683,824x = 1,488,053 × 1,488,053
  4. Step 4: Simplify right side
    683,824x = 2,214,301,730,809
  5. Step 5: Solve for x
    x = 2,214,301,730,809/683,824
  6. Step 6: Final answer
    x = 3,238,116.43

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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.