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Finding the Third Proportional to 451,114 and 939,428

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Solution

The third proportional to 451,114 and 939,428 is: 1,956,323.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,114 : 939,428 = 939,428 : x
  2. Step 2: Convert to fraction form
    451,114/939,428 = 939,428/x
  3. Step 3: Cross multiply
    451,114x = 939,428 × 939,428
  4. Step 4: Simplify right side
    451,114x = 882,524,967,184
  5. Step 5: Solve for x
    x = 882,524,967,184/451,114
  6. Step 6: Final answer
    x = 1,956,323.61

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.