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Finding the Third Proportional to 2,114,640 and 4,700,160

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Solution

The third proportional to 2,114,640 and 4,700,160 is: 10,446,933.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114,640 : 4,700,160 = 4,700,160 : x
  2. Step 2: Convert to fraction form
    2,114,640/4,700,160 = 4,700,160/x
  3. Step 3: Cross multiply
    2,114,640x = 4,700,160 × 4,700,160
  4. Step 4: Simplify right side
    2,114,640x = 22,091,504,025,600
  5. Step 5: Solve for x
    x = 22,091,504,025,600/2,114,640
  6. Step 6: Final answer
    x = 10,446,933.77

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.