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Finding the Third Proportional to 738,259 and 1,122,320

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Solution

The third proportional to 738,259 and 1,122,320 is: 1,706,179.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    738,259 : 1,122,320 = 1,122,320 : x
  2. Step 2: Convert to fraction form
    738,259/1,122,320 = 1,122,320/x
  3. Step 3: Cross multiply
    738,259x = 1,122,320 × 1,122,320
  4. Step 4: Simplify right side
    738,259x = 1,259,602,182,400
  5. Step 5: Solve for x
    x = 1,259,602,182,400/738,259
  6. Step 6: Final answer
    x = 1,706,179.24

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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.