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Finding the Third Proportional to 893,532 and 1,812,984

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Solution

The third proportional to 893,532 and 1,812,984 is: 3,678,559.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    893,532 : 1,812,984 = 1,812,984 : x
  2. Step 2: Convert to fraction form
    893,532/1,812,984 = 1,812,984/x
  3. Step 3: Cross multiply
    893,532x = 1,812,984 × 1,812,984
  4. Step 4: Simplify right side
    893,532x = 3,286,910,984,256
  5. Step 5: Solve for x
    x = 3,286,910,984,256/893,532
  6. Step 6: Final answer
    x = 3,678,559.90

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.