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Finding the Third Proportional to 738,360 and 1,738,473

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Solution

The third proportional to 738,360 and 1,738,473 is: 4,093,244.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    738,360 : 1,738,473 = 1,738,473 : x
  2. Step 2: Convert to fraction form
    738,360/1,738,473 = 1,738,473/x
  3. Step 3: Cross multiply
    738,360x = 1,738,473 × 1,738,473
  4. Step 4: Simplify right side
    738,360x = 3,022,288,371,729
  5. Step 5: Solve for x
    x = 3,022,288,371,729/738,360
  6. Step 6: Final answer
    x = 4,093,244.99

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Why These Related Problems?

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