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Finding the Third Proportional to 1,062,851,530 and 1,496,076,952

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Solution

The third proportional to 1,062,851,530 and 1,496,076,952 is: 2,105,887,965.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,062,851,530 : 1,496,076,952 = 1,496,076,952 : x
  2. Step 2: Convert to fraction form
    1,062,851,530/1,496,076,952 = 1,496,076,952/x
  3. Step 3: Cross multiply
    1,062,851,530x = 1,496,076,952 × 1,496,076,952
  4. Step 4: Simplify right side
    1,062,851,530x = 2,238,246,246,305,610,240
  5. Step 5: Solve for x
    x = 2,238,246,246,305,610,240/1,062,851,530
  6. Step 6: Final answer
    x = 2,105,887,965.66

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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.