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Finding the Third Proportional to 622,580 and 936,382

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Solution

The third proportional to 622,580 and 936,382 is: 1,408,351.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    622,580 : 936,382 = 936,382 : x
  2. Step 2: Convert to fraction form
    622,580/936,382 = 936,382/x
  3. Step 3: Cross multiply
    622,580x = 936,382 × 936,382
  4. Step 4: Simplify right side
    622,580x = 876,811,249,924
  5. Step 5: Solve for x
    x = 876,811,249,924/622,580
  6. Step 6: Final answer
    x = 1,408,351.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.