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Finding the Third Proportional to 516,447 and 1,114,470

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Solution

The third proportional to 516,447 and 1,114,470 is: 2,404,977.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,447 : 1,114,470 = 1,114,470 : x
  2. Step 2: Convert to fraction form
    516,447/1,114,470 = 1,114,470/x
  3. Step 3: Cross multiply
    516,447x = 1,114,470 × 1,114,470
  4. Step 4: Simplify right side
    516,447x = 1,242,043,380,900
  5. Step 5: Solve for x
    x = 1,242,043,380,900/516,447
  6. Step 6: Final answer
    x = 2,404,977.43

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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.