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Finding the Third Proportional to 656,744 and 1,418,272

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Solution

The third proportional to 656,744 and 1,418,272 is: 3,062,830.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,744 : 1,418,272 = 1,418,272 : x
  2. Step 2: Convert to fraction form
    656,744/1,418,272 = 1,418,272/x
  3. Step 3: Cross multiply
    656,744x = 1,418,272 × 1,418,272
  4. Step 4: Simplify right side
    656,744x = 2,011,495,465,984
  5. Step 5: Solve for x
    x = 2,011,495,465,984/656,744
  6. Step 6: Final answer
    x = 3,062,830.37

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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.