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Finding the Third Proportional to 511,494 and 1,114,572

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Solution

The third proportional to 511,494 and 1,114,572 is: 2,428,710.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,494 : 1,114,572 = 1,114,572 : x
  2. Step 2: Convert to fraction form
    511,494/1,114,572 = 1,114,572/x
  3. Step 3: Cross multiply
    511,494x = 1,114,572 × 1,114,572
  4. Step 4: Simplify right side
    511,494x = 1,242,270,743,184
  5. Step 5: Solve for x
    x = 1,242,270,743,184/511,494
  6. Step 6: Final answer
    x = 2,428,710.29

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.