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Finding the Third Proportional to 409,387,608 and 966,425,256

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Solution

The third proportional to 409,387,608 and 966,425,256 is: 2,281,402,165.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,387,608 : 966,425,256 = 966,425,256 : x
  2. Step 2: Convert to fraction form
    409,387,608/966,425,256 = 966,425,256/x
  3. Step 3: Cross multiply
    409,387,608x = 966,425,256 × 966,425,256
  4. Step 4: Simplify right side
    409,387,608x = 933,977,775,434,665,472
  5. Step 5: Solve for x
    x = 933,977,775,434,665,472/409,387,608
  6. Step 6: Final answer
    x = 2,281,402,165.54

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.