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Finding the Third Proportional to 738,264 and 1,122,326

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Solution

The third proportional to 738,264 and 1,122,326 is: 1,706,185.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    738,264 : 1,122,326 = 1,122,326 : x
  2. Step 2: Convert to fraction form
    738,264/1,122,326 = 1,122,326/x
  3. Step 3: Cross multiply
    738,264x = 1,122,326 × 1,122,326
  4. Step 4: Simplify right side
    738,264x = 1,259,615,650,276
  5. Step 5: Solve for x
    x = 1,259,615,650,276/738,264
  6. Step 6: Final answer
    x = 1,706,185.93

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.