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Finding the Third Proportional to 1,348,398 and 2,896,903

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Solution

The third proportional to 1,348,398 and 2,896,903 is: 6,223,716.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,348,398 : 2,896,903 = 2,896,903 : x
  2. Step 2: Convert to fraction form
    1,348,398/2,896,903 = 2,896,903/x
  3. Step 3: Cross multiply
    1,348,398x = 2,896,903 × 2,896,903
  4. Step 4: Simplify right side
    1,348,398x = 8,392,046,991,409
  5. Step 5: Solve for x
    x = 8,392,046,991,409/1,348,398
  6. Step 6: Final answer
    x = 6,223,716.58

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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.