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Finding the Third Proportional to 616,624 and 1,345,005

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Solution

The third proportional to 616,624 and 1,345,005 is: 2,933,778.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,624 : 1,345,005 = 1,345,005 : x
  2. Step 2: Convert to fraction form
    616,624/1,345,005 = 1,345,005/x
  3. Step 3: Cross multiply
    616,624x = 1,345,005 × 1,345,005
  4. Step 4: Simplify right side
    616,624x = 1,809,038,450,025
  5. Step 5: Solve for x
    x = 1,809,038,450,025/616,624
  6. Step 6: Final answer
    x = 2,933,778.85

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.