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Finding the Third Proportional to 445,178 and 912,226

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Solution

The third proportional to 445,178 and 912,226 is: 1,869,266.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,178 : 912,226 = 912,226 : x
  2. Step 2: Convert to fraction form
    445,178/912,226 = 912,226/x
  3. Step 3: Cross multiply
    445,178x = 912,226 × 912,226
  4. Step 4: Simplify right side
    445,178x = 832,156,275,076
  5. Step 5: Solve for x
    x = 832,156,275,076/445,178
  6. Step 6: Final answer
    x = 1,869,266.39

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.