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Finding the Third Proportional to 520,742 and 1,082,946

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Solution

The third proportional to 520,742 and 1,082,946 is: 2,252,117.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,742 : 1,082,946 = 1,082,946 : x
  2. Step 2: Convert to fraction form
    520,742/1,082,946 = 1,082,946/x
  3. Step 3: Cross multiply
    520,742x = 1,082,946 × 1,082,946
  4. Step 4: Simplify right side
    520,742x = 1,172,772,038,916
  5. Step 5: Solve for x
    x = 1,172,772,038,916/520,742
  6. Step 6: Final answer
    x = 2,252,117.25

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.