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Finding the Third Proportional to 614,266 and 1,342,004

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Solution

The third proportional to 614,266 and 1,342,004 is: 2,931,913.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,266 : 1,342,004 = 1,342,004 : x
  2. Step 2: Convert to fraction form
    614,266/1,342,004 = 1,342,004/x
  3. Step 3: Cross multiply
    614,266x = 1,342,004 × 1,342,004
  4. Step 4: Simplify right side
    614,266x = 1,800,974,736,016
  5. Step 5: Solve for x
    x = 1,800,974,736,016/614,266
  6. Step 6: Final answer
    x = 2,931,913.43

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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.