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Finding the Third Proportional to 437,024 and 944,032

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Solution

The third proportional to 437,024 and 944,032 is: 2,039,239.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,024 : 944,032 = 944,032 : x
  2. Step 2: Convert to fraction form
    437,024/944,032 = 944,032/x
  3. Step 3: Cross multiply
    437,024x = 944,032 × 944,032
  4. Step 4: Simplify right side
    437,024x = 891,196,417,024
  5. Step 5: Solve for x
    x = 891,196,417,024/437,024
  6. Step 6: Final answer
    x = 2,039,239.07

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.