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Finding the Third Proportional to 2,123,523 and 4,620,240

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Solution

The third proportional to 2,123,523 and 4,620,240 is: 10,052,454.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,123,523 : 4,620,240 = 4,620,240 : x
  2. Step 2: Convert to fraction form
    2,123,523/4,620,240 = 4,620,240/x
  3. Step 3: Cross multiply
    2,123,523x = 4,620,240 × 4,620,240
  4. Step 4: Simplify right side
    2,123,523x = 21,346,617,657,600
  5. Step 5: Solve for x
    x = 21,346,617,657,600/2,123,523
  6. Step 6: Final answer
    x = 10,052,454.18

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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.