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Finding the Third Proportional to 708,567,686 and 997,384,634

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Solution

The third proportional to 708,567,686 and 997,384,634 is: 1,403,925,309.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,567,686 : 997,384,634 = 997,384,634 : x
  2. Step 2: Convert to fraction form
    708,567,686/997,384,634 = 997,384,634/x
  3. Step 3: Cross multiply
    708,567,686x = 997,384,634 × 997,384,634
  4. Step 4: Simplify right side
    708,567,686x = 994,776,108,139,313,920
  5. Step 5: Solve for x
    x = 994,776,108,139,313,920/708,567,686
  6. Step 6: Final answer
    x = 1,403,925,309.88

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.