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Finding the Third Proportional to 490,614,432 and 1,076,555,051

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Solution

The third proportional to 490,614,432 and 1,076,555,051 is: 2,362,284,315.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,614,432 : 1,076,555,051 = 1,076,555,051 : x
  2. Step 2: Convert to fraction form
    490,614,432/1,076,555,051 = 1,076,555,051/x
  3. Step 3: Cross multiply
    490,614,432x = 1,076,555,051 × 1,076,555,051
  4. Step 4: Simplify right side
    490,614,432x = 1,158,970,777,833,612,544
  5. Step 5: Solve for x
    x = 1,158,970,777,833,612,544/490,614,432
  6. Step 6: Final answer
    x = 2,362,284,315.83

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.