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Finding the Third Proportional to 532,812 and 1,114,884

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Solution

The third proportional to 532,812 and 1,114,884 is: 2,332,842.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,812 : 1,114,884 = 1,114,884 : x
  2. Step 2: Convert to fraction form
    532,812/1,114,884 = 1,114,884/x
  3. Step 3: Cross multiply
    532,812x = 1,114,884 × 1,114,884
  4. Step 4: Simplify right side
    532,812x = 1,242,966,333,456
  5. Step 5: Solve for x
    x = 1,242,966,333,456/532,812
  6. Step 6: Final answer
    x = 2,332,842.23

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.