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Finding the Third Proportional to 531,972 and 1,182,024

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Solution

The third proportional to 531,972 and 1,182,024 is: 2,626,417.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,972 : 1,182,024 = 1,182,024 : x
  2. Step 2: Convert to fraction form
    531,972/1,182,024 = 1,182,024/x
  3. Step 3: Cross multiply
    531,972x = 1,182,024 × 1,182,024
  4. Step 4: Simplify right side
    531,972x = 1,397,180,736,576
  5. Step 5: Solve for x
    x = 1,397,180,736,576/531,972
  6. Step 6: Final answer
    x = 2,626,417.81

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.