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Finding the Third Proportional to 631,714 and 1,031,423

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Solution

The third proportional to 631,714 and 1,031,423 is: 1,684,042.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,714 : 1,031,423 = 1,031,423 : x
  2. Step 2: Convert to fraction form
    631,714/1,031,423 = 1,031,423/x
  3. Step 3: Cross multiply
    631,714x = 1,031,423 × 1,031,423
  4. Step 4: Simplify right side
    631,714x = 1,063,833,404,929
  5. Step 5: Solve for x
    x = 1,063,833,404,929/631,714
  6. Step 6: Final answer
    x = 1,684,042.79

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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.