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Finding the Third Proportional to 440,973 and 966,021

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Solution

The third proportional to 440,973 and 966,021 is: 2,116,221.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,973 : 966,021 = 966,021 : x
  2. Step 2: Convert to fraction form
    440,973/966,021 = 966,021/x
  3. Step 3: Cross multiply
    440,973x = 966,021 × 966,021
  4. Step 4: Simplify right side
    440,973x = 933,196,572,441
  5. Step 5: Solve for x
    x = 933,196,572,441/440,973
  6. Step 6: Final answer
    x = 2,116,221.57

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.