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Finding the Third Proportional to 737,454 and 1,608,396

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Solution

The third proportional to 737,454 and 1,608,396 is: 3,507,930.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    737,454 : 1,608,396 = 1,608,396 : x
  2. Step 2: Convert to fraction form
    737,454/1,608,396 = 1,608,396/x
  3. Step 3: Cross multiply
    737,454x = 1,608,396 × 1,608,396
  4. Step 4: Simplify right side
    737,454x = 2,586,937,692,816
  5. Step 5: Solve for x
    x = 2,586,937,692,816/737,454
  6. Step 6: Final answer
    x = 3,507,930.93

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.