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Finding the Third Proportional to 486,554,661 and 1,007,601,957

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Solution

The third proportional to 486,554,661 and 1,007,601,957 is: 2,086,634,421.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,554,661 : 1,007,601,957 = 1,007,601,957 : x
  2. Step 2: Convert to fraction form
    486,554,661/1,007,601,957 = 1,007,601,957/x
  3. Step 3: Cross multiply
    486,554,661x = 1,007,601,957 × 1,007,601,957
  4. Step 4: Simplify right side
    486,554,661x = 1,015,261,703,750,229,888
  5. Step 5: Solve for x
    x = 1,015,261,703,750,229,888/486,554,661
  6. Step 6: Final answer
    x = 2,086,634,421.84

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.