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Finding the Third Proportional to 961,776 and 2,090,736

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Solution

The third proportional to 961,776 and 2,090,736 is: 4,544,901.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    961,776 : 2,090,736 = 2,090,736 : x
  2. Step 2: Convert to fraction form
    961,776/2,090,736 = 2,090,736/x
  3. Step 3: Cross multiply
    961,776x = 2,090,736 × 2,090,736
  4. Step 4: Simplify right side
    961,776x = 4,371,177,021,696
  5. Step 5: Solve for x
    x = 4,371,177,021,696/961,776
  6. Step 6: Final answer
    x = 4,544,901.33

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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.