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Finding the Third Proportional to 553,936 and 1,205,088

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Solution

The third proportional to 553,936 and 1,205,088 is: 2,621,669.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,936 : 1,205,088 = 1,205,088 : x
  2. Step 2: Convert to fraction form
    553,936/1,205,088 = 1,205,088/x
  3. Step 3: Cross multiply
    553,936x = 1,205,088 × 1,205,088
  4. Step 4: Simplify right side
    553,936x = 1,452,237,087,744
  5. Step 5: Solve for x
    x = 1,452,237,087,744/553,936
  6. Step 6: Final answer
    x = 2,621,669.45

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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.