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Finding the Third Proportional to 421,119 and 913,178

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Solution

The third proportional to 421,119 and 913,178 is: 1,980,186.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,119 : 913,178 = 913,178 : x
  2. Step 2: Convert to fraction form
    421,119/913,178 = 913,178/x
  3. Step 3: Cross multiply
    421,119x = 913,178 × 913,178
  4. Step 4: Simplify right side
    421,119x = 833,894,059,684
  5. Step 5: Solve for x
    x = 833,894,059,684/421,119
  6. Step 6: Final answer
    x = 1,980,186.26

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.