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Finding the Third Proportional to 970,136,652 and 1,491,185,400

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Solution

The third proportional to 970,136,652 and 1,491,185,400 is: 2,292,083,174.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    970,136,652 : 1,491,185,400 = 1,491,185,400 : x
  2. Step 2: Convert to fraction form
    970,136,652/1,491,185,400 = 1,491,185,400/x
  3. Step 3: Cross multiply
    970,136,652x = 1,491,185,400 × 1,491,185,400
  4. Step 4: Simplify right side
    970,136,652x = 2,223,633,897,173,159,936
  5. Step 5: Solve for x
    x = 2,223,633,897,173,159,936/970,136,652
  6. Step 6: Final answer
    x = 2,292,083,174.66

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.