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Finding the Third Proportional to 516,674 and 1,114,884

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Solution

The third proportional to 516,674 and 1,114,884 is: 2,405,707.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,674 : 1,114,884 = 1,114,884 : x
  2. Step 2: Convert to fraction form
    516,674/1,114,884 = 1,114,884/x
  3. Step 3: Cross multiply
    516,674x = 1,114,884 × 1,114,884
  4. Step 4: Simplify right side
    516,674x = 1,242,966,333,456
  5. Step 5: Solve for x
    x = 1,242,966,333,456/516,674
  6. Step 6: Final answer
    x = 2,405,707.15

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.