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Finding the Third Proportional to 738,257 and 1,122,317

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Solution

The third proportional to 738,257 and 1,122,317 is: 1,706,174.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    738,257 : 1,122,317 = 1,122,317 : x
  2. Step 2: Convert to fraction form
    738,257/1,122,317 = 1,122,317/x
  3. Step 3: Cross multiply
    738,257x = 1,122,317 × 1,122,317
  4. Step 4: Simplify right side
    738,257x = 1,259,595,448,489
  5. Step 5: Solve for x
    x = 1,259,595,448,489/738,257
  6. Step 6: Final answer
    x = 1,706,174.74

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Why These Related Problems?

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