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Finding the Third Proportional to 921,460.25 and 1,442,349.50

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Solution

The third proportional to 921,460.25 and 1,442,349.50 is: 2,257,690.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    921,460.25 : 1,442,349.50 = 1,442,349.50 : x
  2. Step 2: Convert to fraction form
    921,460.25/1,442,349.50 = 1,442,349.50/x
  3. Step 3: Cross multiply
    921,460.25x = 1,442,349.50 × 1,442,349.50
  4. Step 4: Simplify right side
    921,460.25x = 2,080,372,080,150.25
  5. Step 5: Solve for x
    x = 2,080,372,080,150.25/921,460.25
  6. Step 6: Final answer
    x = 2,257,690.53

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.