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Finding the Third Proportional to 631,822 and 1,308,357

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Solution

The third proportional to 631,822 and 1,308,357 is: 2,709,304.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,822 : 1,308,357 = 1,308,357 : x
  2. Step 2: Convert to fraction form
    631,822/1,308,357 = 1,308,357/x
  3. Step 3: Cross multiply
    631,822x = 1,308,357 × 1,308,357
  4. Step 4: Simplify right side
    631,822x = 1,711,798,039,449
  5. Step 5: Solve for x
    x = 1,711,798,039,449/631,822
  6. Step 6: Final answer
    x = 2,709,304.27

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.