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Finding the Third Proportional to 601,415,766 and 956,980,656

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Solution

The third proportional to 601,415,766 and 956,980,656 is: 1,522,760,173.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,415,766 : 956,980,656 = 956,980,656 : x
  2. Step 2: Convert to fraction form
    601,415,766/956,980,656 = 956,980,656/x
  3. Step 3: Cross multiply
    601,415,766x = 956,980,656 × 956,980,656
  4. Step 4: Simplify right side
    601,415,766x = 915,811,975,958,190,336
  5. Step 5: Solve for x
    x = 915,811,975,958,190,336/601,415,766
  6. Step 6: Final answer
    x = 1,522,760,173.13

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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.