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Finding the Third Proportional to 856,618 and 1,842,419

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Solution

The third proportional to 856,618 and 1,842,419 is: 3,962,685.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    856,618 : 1,842,419 = 1,842,419 : x
  2. Step 2: Convert to fraction form
    856,618/1,842,419 = 1,842,419/x
  3. Step 3: Cross multiply
    856,618x = 1,842,419 × 1,842,419
  4. Step 4: Simplify right side
    856,618x = 3,394,507,771,561
  5. Step 5: Solve for x
    x = 3,394,507,771,561/856,618
  6. Step 6: Final answer
    x = 3,962,685.55

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.