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Finding the Third Proportional to 746,984 and 1,620,632

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Solution

The third proportional to 746,984 and 1,620,632 is: 3,516,070.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    746,984 : 1,620,632 = 1,620,632 : x
  2. Step 2: Convert to fraction form
    746,984/1,620,632 = 1,620,632/x
  3. Step 3: Cross multiply
    746,984x = 1,620,632 × 1,620,632
  4. Step 4: Simplify right side
    746,984x = 2,626,448,079,424
  5. Step 5: Solve for x
    x = 2,626,448,079,424/746,984
  6. Step 6: Final answer
    x = 3,516,070.06

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.