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Finding the Third Proportional to 557,234,708 and 1,201,723,964

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Solution

The third proportional to 557,234,708 and 1,201,723,964 is: 2,591,619,769.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,234,708 : 1,201,723,964 = 1,201,723,964 : x
  2. Step 2: Convert to fraction form
    557,234,708/1,201,723,964 = 1,201,723,964/x
  3. Step 3: Cross multiply
    557,234,708x = 1,201,723,964 × 1,201,723,964
  4. Step 4: Simplify right side
    557,234,708x = 1,444,140,485,651,873,280
  5. Step 5: Solve for x
    x = 1,444,140,485,651,873,280/557,234,708
  6. Step 6: Final answer
    x = 2,591,619,769.76

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.