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Finding the Third Proportional to 656,745 and 1,418,274

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Solution

The third proportional to 656,745 and 1,418,274 is: 3,062,834.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,745 : 1,418,274 = 1,418,274 : x
  2. Step 2: Convert to fraction form
    656,745/1,418,274 = 1,418,274/x
  3. Step 3: Cross multiply
    656,745x = 1,418,274 × 1,418,274
  4. Step 4: Simplify right side
    656,745x = 2,011,501,139,076
  5. Step 5: Solve for x
    x = 2,011,501,139,076/656,745
  6. Step 6: Final answer
    x = 3,062,834.34

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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.