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Finding the Third Proportional to 510,178 and 1,112,210

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Solution

The third proportional to 510,178 and 1,112,210 is: 2,424,665.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,178 : 1,112,210 = 1,112,210 : x
  2. Step 2: Convert to fraction form
    510,178/1,112,210 = 1,112,210/x
  3. Step 3: Cross multiply
    510,178x = 1,112,210 × 1,112,210
  4. Step 4: Simplify right side
    510,178x = 1,237,011,084,100
  5. Step 5: Solve for x
    x = 1,237,011,084,100/510,178
  6. Step 6: Final answer
    x = 2,424,665.67

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.