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Finding the Third Proportional to 612,024 and 1,330,716

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Solution

The third proportional to 612,024 and 1,330,716 is: 2,893,358.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,024 : 1,330,716 = 1,330,716 : x
  2. Step 2: Convert to fraction form
    612,024/1,330,716 = 1,330,716/x
  3. Step 3: Cross multiply
    612,024x = 1,330,716 × 1,330,716
  4. Step 4: Simplify right side
    612,024x = 1,770,805,072,656
  5. Step 5: Solve for x
    x = 1,770,805,072,656/612,024
  6. Step 6: Final answer
    x = 2,893,358.88

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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.