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Finding the Third Proportional to 606,420 and 941,607

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Solution

The third proportional to 606,420 and 941,607 is: 1,462,062.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    606,420 : 941,607 = 941,607 : x
  2. Step 2: Convert to fraction form
    606,420/941,607 = 941,607/x
  3. Step 3: Cross multiply
    606,420x = 941,607 × 941,607
  4. Step 4: Simplify right side
    606,420x = 886,623,742,449
  5. Step 5: Solve for x
    x = 886,623,742,449/606,420
  6. Step 6: Final answer
    x = 1,462,062.17

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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.