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Finding the Third Proportional to 530,238 and 1,144,524

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Solution

The third proportional to 530,238 and 1,144,524 is: 2,470,466.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,238 : 1,144,524 = 1,144,524 : x
  2. Step 2: Convert to fraction form
    530,238/1,144,524 = 1,144,524/x
  3. Step 3: Cross multiply
    530,238x = 1,144,524 × 1,144,524
  4. Step 4: Simplify right side
    530,238x = 1,309,935,186,576
  5. Step 5: Solve for x
    x = 1,309,935,186,576/530,238
  6. Step 6: Final answer
    x = 2,470,466.44

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