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Finding the Third Proportional to 673,754 and 985,502

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Solution

The third proportional to 673,754 and 985,502 is: 1,441,496.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    673,754 : 985,502 = 985,502 : x
  2. Step 2: Convert to fraction form
    673,754/985,502 = 985,502/x
  3. Step 3: Cross multiply
    673,754x = 985,502 × 985,502
  4. Step 4: Simplify right side
    673,754x = 971,214,192,004
  5. Step 5: Solve for x
    x = 971,214,192,004/673,754
  6. Step 6: Final answer
    x = 1,441,496.74

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.