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Finding the Third Proportional to 631,959 and 1,316,424

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Solution

The third proportional to 631,959 and 1,316,424 is: 2,742,222.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,959 : 1,316,424 = 1,316,424 : x
  2. Step 2: Convert to fraction form
    631,959/1,316,424 = 1,316,424/x
  3. Step 3: Cross multiply
    631,959x = 1,316,424 × 1,316,424
  4. Step 4: Simplify right side
    631,959x = 1,732,972,147,776
  5. Step 5: Solve for x
    x = 1,732,972,147,776/631,959
  6. Step 6: Final answer
    x = 2,742,222.43

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.