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Finding the Third Proportional to 479,340,865 and 1,032,729,266

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Solution

The third proportional to 479,340,865 and 1,032,729,266 is: 2,224,992,306.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    479,340,865 : 1,032,729,266 = 1,032,729,266 : x
  2. Step 2: Convert to fraction form
    479,340,865/1,032,729,266 = 1,032,729,266/x
  3. Step 3: Cross multiply
    479,340,865x = 1,032,729,266 × 1,032,729,266
  4. Step 4: Simplify right side
    479,340,865x = 1,066,529,736,852,898,816
  5. Step 5: Solve for x
    x = 1,066,529,736,852,898,816/479,340,865
  6. Step 6: Final answer
    x = 2,224,992,306.58

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.