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Finding the Third Proportional to 606,428 and 941,622

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Solution

The third proportional to 606,428 and 941,622 is: 1,462,089.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    606,428 : 941,622 = 941,622 : x
  2. Step 2: Convert to fraction form
    606,428/941,622 = 941,622/x
  3. Step 3: Cross multiply
    606,428x = 941,622 × 941,622
  4. Step 4: Simplify right side
    606,428x = 886,651,990,884
  5. Step 5: Solve for x
    x = 886,651,990,884/606,428
  6. Step 6: Final answer
    x = 1,462,089.47

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.