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Finding the Third Proportional to 532,814 and 1,114,888

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Solution

The third proportional to 532,814 and 1,114,888 is: 2,332,850.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,814 : 1,114,888 = 1,114,888 : x
  2. Step 2: Convert to fraction form
    532,814/1,114,888 = 1,114,888/x
  3. Step 3: Cross multiply
    532,814x = 1,114,888 × 1,114,888
  4. Step 4: Simplify right side
    532,814x = 1,242,975,252,544
  5. Step 5: Solve for x
    x = 1,242,975,252,544/532,814
  6. Step 6: Final answer
    x = 2,332,850.21

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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.