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Finding the Third Proportional to 616,634 and 1,345,024

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Solution

The third proportional to 616,634 and 1,345,024 is: 2,933,814.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,634 : 1,345,024 = 1,345,024 : x
  2. Step 2: Convert to fraction form
    616,634/1,345,024 = 1,345,024/x
  3. Step 3: Cross multiply
    616,634x = 1,345,024 × 1,345,024
  4. Step 4: Simplify right side
    616,634x = 1,809,089,560,576
  5. Step 5: Solve for x
    x = 1,809,089,560,576/616,634
  6. Step 6: Final answer
    x = 2,933,814.16

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Why These Related Problems?

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