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Finding the Third Proportional to 690,843,304.50 and 987,914,054.25

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Solution

The third proportional to 690,843,304.50 and 987,914,054.25 is: 1,412,728,721.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    690,843,304.50 : 987,914,054.25 = 987,914,054.25 : x
  2. Step 2: Convert to fraction form
    690,843,304.50/987,914,054.25 = 987,914,054.25/x
  3. Step 3: Cross multiply
    690,843,304.50x = 987,914,054.25 × 987,914,054.25
  4. Step 4: Simplify right side
    690,843,304.50x = 975,974,178,584,672,000
  5. Step 5: Solve for x
    x = 975,974,178,584,672,000/690,843,304.50
  6. Step 6: Final answer
    x = 1,412,728,721.88

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.