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Finding the Third Proportional to 2,123,640 and 4,620,526

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Solution

The third proportional to 2,123,640 and 4,620,526 is: 10,053,144.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,123,640 : 4,620,526 = 4,620,526 : x
  2. Step 2: Convert to fraction form
    2,123,640/4,620,526 = 4,620,526/x
  3. Step 3: Cross multiply
    2,123,640x = 4,620,526 × 4,620,526
  4. Step 4: Simplify right side
    2,123,640x = 21,349,260,516,676
  5. Step 5: Solve for x
    x = 21,349,260,516,676/2,123,640
  6. Step 6: Final answer
    x = 10,053,144.84

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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.