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Finding the Third Proportional to 797,080 and 1,184,328

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Solution

The third proportional to 797,080 and 1,184,328 is: 1,759,713.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    797,080 : 1,184,328 = 1,184,328 : x
  2. Step 2: Convert to fraction form
    797,080/1,184,328 = 1,184,328/x
  3. Step 3: Cross multiply
    797,080x = 1,184,328 × 1,184,328
  4. Step 4: Simplify right side
    797,080x = 1,402,632,811,584
  5. Step 5: Solve for x
    x = 1,402,632,811,584/797,080
  6. Step 6: Final answer
    x = 1,759,713.97

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.