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Finding the Third Proportional to 859,419 and 1,872,900

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Solution

The third proportional to 859,419 and 1,872,900 is: 4,081,541.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    859,419 : 1,872,900 = 1,872,900 : x
  2. Step 2: Convert to fraction form
    859,419/1,872,900 = 1,872,900/x
  3. Step 3: Cross multiply
    859,419x = 1,872,900 × 1,872,900
  4. Step 4: Simplify right side
    859,419x = 3,507,754,410,000
  5. Step 5: Solve for x
    x = 3,507,754,410,000/859,419
  6. Step 6: Final answer
    x = 4,081,541.61

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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.