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Finding the Third Proportional to 622,309 and 961,100

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Solution

The third proportional to 622,309 and 961,100 is: 1,484,332.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    622,309 : 961,100 = 961,100 : x
  2. Step 2: Convert to fraction form
    622,309/961,100 = 961,100/x
  3. Step 3: Cross multiply
    622,309x = 961,100 × 961,100
  4. Step 4: Simplify right side
    622,309x = 923,713,210,000
  5. Step 5: Solve for x
    x = 923,713,210,000/622,309
  6. Step 6: Final answer
    x = 1,484,332.08

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.