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Finding the Third Proportional to 514,304 and 1,147,840

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Solution

The third proportional to 514,304 and 1,147,840 is: 2,561,785.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,304 : 1,147,840 = 1,147,840 : x
  2. Step 2: Convert to fraction form
    514,304/1,147,840 = 1,147,840/x
  3. Step 3: Cross multiply
    514,304x = 1,147,840 × 1,147,840
  4. Step 4: Simplify right side
    514,304x = 1,317,536,665,600
  5. Step 5: Solve for x
    x = 1,317,536,665,600/514,304
  6. Step 6: Final answer
    x = 2,561,785.76

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.