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Finding the Third Proportional to 2,665,600 and 5,804,480

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Solution

The third proportional to 2,665,600 and 5,804,480 is: 12,639,551.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,665,600 : 5,804,480 = 5,804,480 : x
  2. Step 2: Convert to fraction form
    2,665,600/5,804,480 = 5,804,480/x
  3. Step 3: Cross multiply
    2,665,600x = 5,804,480 × 5,804,480
  4. Step 4: Simplify right side
    2,665,600x = 33,691,988,070,400
  5. Step 5: Solve for x
    x = 33,691,988,070,400/2,665,600
  6. Step 6: Final answer
    x = 12,639,551.35

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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.