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Finding the Third Proportional to 832,260 and 1,218,756

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Solution

The third proportional to 832,260 and 1,218,756 is: 1,784,738.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    832,260 : 1,218,756 = 1,218,756 : x
  2. Step 2: Convert to fraction form
    832,260/1,218,756 = 1,218,756/x
  3. Step 3: Cross multiply
    832,260x = 1,218,756 × 1,218,756
  4. Step 4: Simplify right side
    832,260x = 1,485,366,187,536
  5. Step 5: Solve for x
    x = 1,485,366,187,536/832,260
  6. Step 6: Final answer
    x = 1,784,738.17

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.