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Finding the Third Proportional to 1,354,616 and 2,961,102

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Solution

The third proportional to 1,354,616 and 2,961,102 is: 6,472,775.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,354,616 : 2,961,102 = 2,961,102 : x
  2. Step 2: Convert to fraction form
    1,354,616/2,961,102 = 2,961,102/x
  3. Step 3: Cross multiply
    1,354,616x = 2,961,102 × 2,961,102
  4. Step 4: Simplify right side
    1,354,616x = 8,768,125,054,404
  5. Step 5: Solve for x
    x = 8,768,125,054,404/1,354,616
  6. Step 6: Final answer
    x = 6,472,775.35

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