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Finding the Third Proportional to 657,903 and 1,367,520

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Solution

The third proportional to 657,903 and 1,367,520 is: 2,842,532.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,903 : 1,367,520 = 1,367,520 : x
  2. Step 2: Convert to fraction form
    657,903/1,367,520 = 1,367,520/x
  3. Step 3: Cross multiply
    657,903x = 1,367,520 × 1,367,520
  4. Step 4: Simplify right side
    657,903x = 1,870,110,950,400
  5. Step 5: Solve for x
    x = 1,870,110,950,400/657,903
  6. Step 6: Final answer
    x = 2,842,532.94

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.