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Finding the Third Proportional to 622,210 and 962,473

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Solution

The third proportional to 622,210 and 962,473 is: 1,488,812.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    622,210 : 962,473 = 962,473 : x
  2. Step 2: Convert to fraction form
    622,210/962,473 = 962,473/x
  3. Step 3: Cross multiply
    622,210x = 962,473 × 962,473
  4. Step 4: Simplify right side
    622,210x = 926,354,275,729
  5. Step 5: Solve for x
    x = 926,354,275,729/622,210
  6. Step 6: Final answer
    x = 1,488,812.90

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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.