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Finding the Third Proportional to 849,338 and 1,848,532

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Solution

The third proportional to 849,338 and 1,848,532 is: 4,023,216.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    849,338 : 1,848,532 = 1,848,532 : x
  2. Step 2: Convert to fraction form
    849,338/1,848,532 = 1,848,532/x
  3. Step 3: Cross multiply
    849,338x = 1,848,532 × 1,848,532
  4. Step 4: Simplify right side
    849,338x = 3,417,070,555,024
  5. Step 5: Solve for x
    x = 3,417,070,555,024/849,338
  6. Step 6: Final answer
    x = 4,023,216.38

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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.