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Finding the Third Proportional to 620,919 and 936,243

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Solution

The third proportional to 620,919 and 936,243 is: 1,411,699.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    620,919 : 936,243 = 936,243 : x
  2. Step 2: Convert to fraction form
    620,919/936,243 = 936,243/x
  3. Step 3: Cross multiply
    620,919x = 936,243 × 936,243
  4. Step 4: Simplify right side
    620,919x = 876,550,955,049
  5. Step 5: Solve for x
    x = 876,550,955,049/620,919
  6. Step 6: Final answer
    x = 1,411,699.36

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.