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Finding the Third Proportional to 829,076 and 1,771,912

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Solution

The third proportional to 829,076 and 1,771,912 is: 3,786,953.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    829,076 : 1,771,912 = 1,771,912 : x
  2. Step 2: Convert to fraction form
    829,076/1,771,912 = 1,771,912/x
  3. Step 3: Cross multiply
    829,076x = 1,771,912 × 1,771,912
  4. Step 4: Simplify right side
    829,076x = 3,139,672,135,744
  5. Step 5: Solve for x
    x = 3,139,672,135,744/829,076
  6. Step 6: Final answer
    x = 3,786,953.35

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.