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Finding the Third Proportional to 532,674 and 1,141,164

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Solution

The third proportional to 532,674 and 1,141,164 is: 2,444,750.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,674 : 1,141,164 = 1,141,164 : x
  2. Step 2: Convert to fraction form
    532,674/1,141,164 = 1,141,164/x
  3. Step 3: Cross multiply
    532,674x = 1,141,164 × 1,141,164
  4. Step 4: Simplify right side
    532,674x = 1,302,255,274,896
  5. Step 5: Solve for x
    x = 1,302,255,274,896/532,674
  6. Step 6: Final answer
    x = 2,444,750.96

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.