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Finding the Third Proportional to 738,358 and 1,738,468

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Solution

The third proportional to 738,358 and 1,738,468 is: 4,093,232.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    738,358 : 1,738,468 = 1,738,468 : x
  2. Step 2: Convert to fraction form
    738,358/1,738,468 = 1,738,468/x
  3. Step 3: Cross multiply
    738,358x = 1,738,468 × 1,738,468
  4. Step 4: Simplify right side
    738,358x = 3,022,270,987,024
  5. Step 5: Solve for x
    x = 3,022,270,987,024/738,358
  6. Step 6: Final answer
    x = 4,093,232.53

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.