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Finding the Third Proportional to 690,231,004 and 970,856,010

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Solution

The third proportional to 690,231,004 and 970,856,010 is: 1,365,573,824.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    690,231,004 : 970,856,010 = 970,856,010 : x
  2. Step 2: Convert to fraction form
    690,231,004/970,856,010 = 970,856,010/x
  3. Step 3: Cross multiply
    690,231,004x = 970,856,010 × 970,856,010
  4. Step 4: Simplify right side
    690,231,004x = 942,561,392,153,120,128
  5. Step 5: Solve for x
    x = 942,561,392,153,120,128/690,231,004
  6. Step 6: Final answer
    x = 1,365,573,824.84

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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.