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Finding the Third Proportional to 445,994 and 961,972

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Solution

The third proportional to 445,994 and 961,972 is: 2,074,893.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,994 : 961,972 = 961,972 : x
  2. Step 2: Convert to fraction form
    445,994/961,972 = 961,972/x
  3. Step 3: Cross multiply
    445,994x = 961,972 × 961,972
  4. Step 4: Simplify right side
    445,994x = 925,390,128,784
  5. Step 5: Solve for x
    x = 925,390,128,784/445,994
  6. Step 6: Final answer
    x = 2,074,893.67

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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.