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Finding the Third Proportional to 614,268 and 1,342,008

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Solution

The third proportional to 614,268 and 1,342,008 is: 2,931,921.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,268 : 1,342,008 = 1,342,008 : x
  2. Step 2: Convert to fraction form
    614,268/1,342,008 = 1,342,008/x
  3. Step 3: Cross multiply
    614,268x = 1,342,008 × 1,342,008
  4. Step 4: Simplify right side
    614,268x = 1,800,985,472,064
  5. Step 5: Solve for x
    x = 1,800,985,472,064/614,268
  6. Step 6: Final answer
    x = 2,931,921.36

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.