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Finding the Third Proportional to 1,062,851,512 and 1,496,076,928

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Solution

The third proportional to 1,062,851,512 and 1,496,076,928 is: 2,105,887,933.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,062,851,512 : 1,496,076,928 = 1,496,076,928 : x
  2. Step 2: Convert to fraction form
    1,062,851,512/1,496,076,928 = 1,496,076,928/x
  3. Step 3: Cross multiply
    1,062,851,512x = 1,496,076,928 × 1,496,076,928
  4. Step 4: Simplify right side
    1,062,851,512x = 2,238,246,174,493,917,184
  5. Step 5: Solve for x
    x = 2,238,246,174,493,917,184/1,062,851,512
  6. Step 6: Final answer
    x = 2,105,887,933.75

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