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Finding the Third Proportional to 507,674.25 and 1,102,881.75

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Solution

The third proportional to 507,674.25 and 1,102,881.75 is: 2,395,922.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,674.25 : 1,102,881.75 = 1,102,881.75 : x
  2. Step 2: Convert to fraction form
    507,674.25/1,102,881.75 = 1,102,881.75/x
  3. Step 3: Cross multiply
    507,674.25x = 1,102,881.75 × 1,102,881.75
  4. Step 4: Simplify right side
    507,674.25x = 1,216,348,154,483.06
  5. Step 5: Solve for x
    x = 1,216,348,154,483.06/507,674.25
  6. Step 6: Final answer
    x = 2,395,922.49

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.