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Finding the Third Proportional to 734,394 and 1,613,320

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Solution

The third proportional to 734,394 and 1,613,320 is: 3,544,148.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    734,394 : 1,613,320 = 1,613,320 : x
  2. Step 2: Convert to fraction form
    734,394/1,613,320 = 1,613,320/x
  3. Step 3: Cross multiply
    734,394x = 1,613,320 × 1,613,320
  4. Step 4: Simplify right side
    734,394x = 2,602,801,422,400
  5. Step 5: Solve for x
    x = 2,602,801,422,400/734,394
  6. Step 6: Final answer
    x = 3,544,148.54

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.