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Finding the Third Proportional to 1,425,441 and 2,874,210

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Solution

The third proportional to 1,425,441 and 2,874,210 is: 5,795,457.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,425,441 : 2,874,210 = 2,874,210 : x
  2. Step 2: Convert to fraction form
    1,425,441/2,874,210 = 2,874,210/x
  3. Step 3: Cross multiply
    1,425,441x = 2,874,210 × 2,874,210
  4. Step 4: Simplify right side
    1,425,441x = 8,261,083,124,100
  5. Step 5: Solve for x
    x = 8,261,083,124,100/1,425,441
  6. Step 6: Final answer
    x = 5,795,457.77

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.