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Finding the Third Proportional to 832,470 and 1,245,366

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Solution

The third proportional to 832,470 and 1,245,366 is: 1,863,053.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    832,470 : 1,245,366 = 1,245,366 : x
  2. Step 2: Convert to fraction form
    832,470/1,245,366 = 1,245,366/x
  3. Step 3: Cross multiply
    832,470x = 1,245,366 × 1,245,366
  4. Step 4: Simplify right side
    832,470x = 1,550,936,473,956
  5. Step 5: Solve for x
    x = 1,550,936,473,956/832,470
  6. Step 6: Final answer
    x = 1,863,053.89

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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.