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Finding the Third Proportional to 532,828 and 1,141,652

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Solution

The third proportional to 532,828 and 1,141,652 is: 2,446,135.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,828 : 1,141,652 = 1,141,652 : x
  2. Step 2: Convert to fraction form
    532,828/1,141,652 = 1,141,652/x
  3. Step 3: Cross multiply
    532,828x = 1,141,652 × 1,141,652
  4. Step 4: Simplify right side
    532,828x = 1,303,369,289,104
  5. Step 5: Solve for x
    x = 1,303,369,289,104/532,828
  6. Step 6: Final answer
    x = 2,446,135.13

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Why These Related Problems?

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