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Finding the Third Proportional to 532,919 and 1,141,816

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Solution

The third proportional to 532,919 and 1,141,816 is: 2,446,420.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,919 : 1,141,816 = 1,141,816 : x
  2. Step 2: Convert to fraction form
    532,919/1,141,816 = 1,141,816/x
  3. Step 3: Cross multiply
    532,919x = 1,141,816 × 1,141,816
  4. Step 4: Simplify right side
    532,919x = 1,303,743,777,856
  5. Step 5: Solve for x
    x = 1,303,743,777,856/532,919
  6. Step 6: Final answer
    x = 2,446,420.15

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.