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Finding the Third Proportional to 631,944 and 1,403,856

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Solution

The third proportional to 631,944 and 1,403,856 is: 3,118,649.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,944 : 1,403,856 = 1,403,856 : x
  2. Step 2: Convert to fraction form
    631,944/1,403,856 = 1,403,856/x
  3. Step 3: Cross multiply
    631,944x = 1,403,856 × 1,403,856
  4. Step 4: Simplify right side
    631,944x = 1,970,811,668,736
  5. Step 5: Solve for x
    x = 1,970,811,668,736/631,944
  6. Step 6: Final answer
    x = 3,118,649.23

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.