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Finding the Third Proportional to 694,423,302 and 945,686,025

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Solution

The third proportional to 694,423,302 and 945,686,025 is: 1,287,862,972.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    694,423,302 : 945,686,025 = 945,686,025 : x
  2. Step 2: Convert to fraction form
    694,423,302/945,686,025 = 945,686,025/x
  3. Step 3: Cross multiply
    694,423,302x = 945,686,025 × 945,686,025
  4. Step 4: Simplify right side
    694,423,302x = 894,322,057,880,300,672
  5. Step 5: Solve for x
    x = 894,322,057,880,300,672/694,423,302
  6. Step 6: Final answer
    x = 1,287,862,972.49

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.