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Finding the Third Proportional to 557,106 and 1,220,694

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Solution

The third proportional to 557,106 and 1,220,694 is: 2,674,704.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,106 : 1,220,694 = 1,220,694 : x
  2. Step 2: Convert to fraction form
    557,106/1,220,694 = 1,220,694/x
  3. Step 3: Cross multiply
    557,106x = 1,220,694 × 1,220,694
  4. Step 4: Simplify right side
    557,106x = 1,490,093,841,636
  5. Step 5: Solve for x
    x = 1,490,093,841,636/557,106
  6. Step 6: Final answer
    x = 2,674,704.35

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.