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Finding the Third Proportional to 503,566 and 1,030,392

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Solution

The third proportional to 503,566 and 1,030,392 is: 2,108,378.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,566 : 1,030,392 = 1,030,392 : x
  2. Step 2: Convert to fraction form
    503,566/1,030,392 = 1,030,392/x
  3. Step 3: Cross multiply
    503,566x = 1,030,392 × 1,030,392
  4. Step 4: Simplify right side
    503,566x = 1,061,707,673,664
  5. Step 5: Solve for x
    x = 1,061,707,673,664/503,566
  6. Step 6: Final answer
    x = 2,108,378.39

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.