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Finding the Third Proportional to 763,951.50 and 1,146,018.38

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Solution

The third proportional to 763,951.50 and 1,146,018.38 is: 1,719,164.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    763,951.50 : 1,146,018.38 = 1,146,018.38 : x
  2. Step 2: Convert to fraction form
    763,951.50/1,146,018.38 = 1,146,018.38/x
  3. Step 3: Cross multiply
    763,951.50x = 1,146,018.38 × 1,146,018.38
  4. Step 4: Simplify right side
    763,951.50x = 1,313,358,115,837.64
  5. Step 5: Solve for x
    x = 1,313,358,115,837.64/763,951.50
  6. Step 6: Final answer
    x = 1,719,164.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.