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Finding the Third Proportional to 694,423,304 and 945,686,028

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Solution

The third proportional to 694,423,304 and 945,686,028 is: 1,287,862,976.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    694,423,304 : 945,686,028 = 945,686,028 : x
  2. Step 2: Convert to fraction form
    694,423,304/945,686,028 = 945,686,028/x
  3. Step 3: Cross multiply
    694,423,304x = 945,686,028 × 945,686,028
  4. Step 4: Simplify right side
    694,423,304x = 894,322,063,554,416,768
  5. Step 5: Solve for x
    x = 894,322,063,554,416,768/694,423,304
  6. Step 6: Final answer
    x = 1,287,862,976.95

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Why These Related Problems?

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