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Finding the Third Proportional to 601,415,769 and 956,980,660.50

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Solution

The third proportional to 601,415,769 and 956,980,660.50 is: 1,522,760,179.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,415,769 : 956,980,660.50 = 956,980,660.50 : x
  2. Step 2: Convert to fraction form
    601,415,769/956,980,660.50 = 956,980,660.50/x
  3. Step 3: Cross multiply
    601,415,769x = 956,980,660.50 × 956,980,660.50
  4. Step 4: Simplify right side
    601,415,769x = 915,811,984,571,016,320
  5. Step 5: Solve for x
    x = 915,811,984,571,016,320/601,415,769
  6. Step 6: Final answer
    x = 1,522,760,179.86

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.