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Finding the Third Proportional to 554,688 and 1,081,728

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Solution

The third proportional to 554,688 and 1,081,728 is: 2,109,538.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    554,688 : 1,081,728 = 1,081,728 : x
  2. Step 2: Convert to fraction form
    554,688/1,081,728 = 1,081,728/x
  3. Step 3: Cross multiply
    554,688x = 1,081,728 × 1,081,728
  4. Step 4: Simplify right side
    554,688x = 1,170,135,465,984
  5. Step 5: Solve for x
    x = 1,170,135,465,984/554,688
  6. Step 6: Final answer
    x = 2,109,538.09

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.