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Finding the Third Proportional to 646,555 and 1,405,024

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Solution

The third proportional to 646,555 and 1,405,024 is: 3,053,247.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,555 : 1,405,024 = 1,405,024 : x
  2. Step 2: Convert to fraction form
    646,555/1,405,024 = 1,405,024/x
  3. Step 3: Cross multiply
    646,555x = 1,405,024 × 1,405,024
  4. Step 4: Simplify right side
    646,555x = 1,974,092,440,576
  5. Step 5: Solve for x
    x = 1,974,092,440,576/646,555
  6. Step 6: Final answer
    x = 3,053,247.50

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.