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Finding the Third Proportional to 591,688 and 1,277,998

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Solution

The third proportional to 591,688 and 1,277,998 is: 2,760,371.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,688 : 1,277,998 = 1,277,998 : x
  2. Step 2: Convert to fraction form
    591,688/1,277,998 = 1,277,998/x
  3. Step 3: Cross multiply
    591,688x = 1,277,998 × 1,277,998
  4. Step 4: Simplify right side
    591,688x = 1,633,278,888,004
  5. Step 5: Solve for x
    x = 1,633,278,888,004/591,688
  6. Step 6: Final answer
    x = 2,760,371.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.