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Finding the Third Proportional to 806,583 and 1,238,073

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Solution

The third proportional to 806,583 and 1,238,073 is: 1,900,393.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    806,583 : 1,238,073 = 1,238,073 : x
  2. Step 2: Convert to fraction form
    806,583/1,238,073 = 1,238,073/x
  3. Step 3: Cross multiply
    806,583x = 1,238,073 × 1,238,073
  4. Step 4: Simplify right side
    806,583x = 1,532,824,753,329
  5. Step 5: Solve for x
    x = 1,532,824,753,329/806,583
  6. Step 6: Final answer
    x = 1,900,393.08

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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.