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Finding the Third Proportional to 3,205,616 and 4,992,240

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Solution

The third proportional to 3,205,616 and 4,992,240 is: 7,774,624.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,205,616 : 4,992,240 = 4,992,240 : x
  2. Step 2: Convert to fraction form
    3,205,616/4,992,240 = 4,992,240/x
  3. Step 3: Cross multiply
    3,205,616x = 4,992,240 × 4,992,240
  4. Step 4: Simplify right side
    3,205,616x = 24,922,460,217,600
  5. Step 5: Solve for x
    x = 24,922,460,217,600/3,205,616
  6. Step 6: Final answer
    x = 7,774,624.35

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.