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Finding the Third Proportional to 656,747 and 1,418,278

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Solution

The third proportional to 656,747 and 1,418,278 is: 3,062,842.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,747 : 1,418,278 = 1,418,278 : x
  2. Step 2: Convert to fraction form
    656,747/1,418,278 = 1,418,278/x
  3. Step 3: Cross multiply
    656,747x = 1,418,278 × 1,418,278
  4. Step 4: Simplify right side
    656,747x = 2,011,512,485,284
  5. Step 5: Solve for x
    x = 2,011,512,485,284/656,747
  6. Step 6: Final answer
    x = 3,062,842.29

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Why These Related Problems?

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