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Finding the Third Proportional to 656,738 and 1,418,260

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Solution

The third proportional to 656,738 and 1,418,260 is: 3,062,806.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,738 : 1,418,260 = 1,418,260 : x
  2. Step 2: Convert to fraction form
    656,738/1,418,260 = 1,418,260/x
  3. Step 3: Cross multiply
    656,738x = 1,418,260 × 1,418,260
  4. Step 4: Simplify right side
    656,738x = 2,011,461,427,600
  5. Step 5: Solve for x
    x = 2,011,461,427,600/656,738
  6. Step 6: Final answer
    x = 3,062,806.52

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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.