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Finding the Third Proportional to 532,178 and 1,138,148

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Solution

The third proportional to 532,178 and 1,138,148 is: 2,434,112.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,178 : 1,138,148 = 1,138,148 : x
  2. Step 2: Convert to fraction form
    532,178/1,138,148 = 1,138,148/x
  3. Step 3: Cross multiply
    532,178x = 1,138,148 × 1,138,148
  4. Step 4: Simplify right side
    532,178x = 1,295,380,869,904
  5. Step 5: Solve for x
    x = 1,295,380,869,904/532,178
  6. Step 6: Final answer
    x = 2,434,112.03

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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.