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Finding the Third Proportional to 584,606 and 1,283,002

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Solution

The third proportional to 584,606 and 1,283,002 is: 2,815,732.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,606 : 1,283,002 = 1,283,002 : x
  2. Step 2: Convert to fraction form
    584,606/1,283,002 = 1,283,002/x
  3. Step 3: Cross multiply
    584,606x = 1,283,002 × 1,283,002
  4. Step 4: Simplify right side
    584,606x = 1,646,094,132,004
  5. Step 5: Solve for x
    x = 1,646,094,132,004/584,606
  6. Step 6: Final answer
    x = 2,815,732.53

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.