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Finding the Third Proportional to 553,187 and 1,206,907

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Solution

The third proportional to 553,187 and 1,206,907 is: 2,633,150.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,187 : 1,206,907 = 1,206,907 : x
  2. Step 2: Convert to fraction form
    553,187/1,206,907 = 1,206,907/x
  3. Step 3: Cross multiply
    553,187x = 1,206,907 × 1,206,907
  4. Step 4: Simplify right side
    553,187x = 1,456,624,506,649
  5. Step 5: Solve for x
    x = 1,456,624,506,649/553,187
  6. Step 6: Final answer
    x = 2,633,150.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.