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Finding the Third Proportional to 997,900 and 1,563,609

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Solution

The third proportional to 997,900 and 1,563,609 is: 2,450,018.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    997,900 : 1,563,609 = 1,563,609 : x
  2. Step 2: Convert to fraction form
    997,900/1,563,609 = 1,563,609/x
  3. Step 3: Cross multiply
    997,900x = 1,563,609 × 1,563,609
  4. Step 4: Simplify right side
    997,900x = 2,444,873,104,881
  5. Step 5: Solve for x
    x = 2,444,873,104,881/997,900
  6. Step 6: Final answer
    x = 2,450,018.14

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.