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Finding the Third Proportional to 806,572 and 1,238,057

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Solution

The third proportional to 806,572 and 1,238,057 is: 1,900,369.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    806,572 : 1,238,057 = 1,238,057 : x
  2. Step 2: Convert to fraction form
    806,572/1,238,057 = 1,238,057/x
  3. Step 3: Cross multiply
    806,572x = 1,238,057 × 1,238,057
  4. Step 4: Simplify right side
    806,572x = 1,532,785,135,249
  5. Step 5: Solve for x
    x = 1,532,785,135,249/806,572
  6. Step 6: Final answer
    x = 1,900,369.88

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.