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Finding the Third Proportional to 729,150,588 and 1,041,939,230

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Solution

The third proportional to 729,150,588 and 1,041,939,230 is: 1,488,906,923.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    729,150,588 : 1,041,939,230 = 1,041,939,230 : x
  2. Step 2: Convert to fraction form
    729,150,588/1,041,939,230 = 1,041,939,230/x
  3. Step 3: Cross multiply
    729,150,588x = 1,041,939,230 × 1,041,939,230
  4. Step 4: Simplify right side
    729,150,588x = 1,085,637,359,012,992,896
  5. Step 5: Solve for x
    x = 1,085,637,359,012,992,896/729,150,588
  6. Step 6: Final answer
    x = 1,488,906,923.86

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.