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Finding the Third Proportional to 3,029,688 and 4,552,380

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Solution

The third proportional to 3,029,688 and 4,552,380 is: 6,840,362.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,029,688 : 4,552,380 = 4,552,380 : x
  2. Step 2: Convert to fraction form
    3,029,688/4,552,380 = 4,552,380/x
  3. Step 3: Cross multiply
    3,029,688x = 4,552,380 × 4,552,380
  4. Step 4: Simplify right side
    3,029,688x = 20,724,163,664,400
  5. Step 5: Solve for x
    x = 20,724,163,664,400/3,029,688
  6. Step 6: Final answer
    x = 6,840,362.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.