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Finding the Third Proportional to 729,150,580 and 1,041,939,218

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Solution

The third proportional to 729,150,580 and 1,041,939,218 is: 1,488,906,905.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    729,150,580 : 1,041,939,218 = 1,041,939,218 : x
  2. Step 2: Convert to fraction form
    729,150,580/1,041,939,218 = 1,041,939,218/x
  3. Step 3: Cross multiply
    729,150,580x = 1,041,939,218 × 1,041,939,218
  4. Step 4: Simplify right side
    729,150,580x = 1,085,637,334,006,451,584
  5. Step 5: Solve for x
    x = 1,085,637,334,006,451,584/729,150,580
  6. Step 6: Final answer
    x = 1,488,906,905.90

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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.