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Finding the Third Proportional to 704,842 and 1,134,903

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Solution

The third proportional to 704,842 and 1,134,903 is: 1,827,366.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,842 : 1,134,903 = 1,134,903 : x
  2. Step 2: Convert to fraction form
    704,842/1,134,903 = 1,134,903/x
  3. Step 3: Cross multiply
    704,842x = 1,134,903 × 1,134,903
  4. Step 4: Simplify right side
    704,842x = 1,288,004,819,409
  5. Step 5: Solve for x
    x = 1,288,004,819,409/704,842
  6. Step 6: Final answer
    x = 1,827,366.73

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.