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Finding the Third Proportional to 631,716 and 1,031,424

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Solution

The third proportional to 631,716 and 1,031,424 is: 1,684,040.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,716 : 1,031,424 = 1,031,424 : x
  2. Step 2: Convert to fraction form
    631,716/1,031,424 = 1,031,424/x
  3. Step 3: Cross multiply
    631,716x = 1,031,424 × 1,031,424
  4. Step 4: Simplify right side
    631,716x = 1,063,835,467,776
  5. Step 5: Solve for x
    x = 1,063,835,467,776/631,716
  6. Step 6: Final answer
    x = 1,684,040.72

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These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.