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Finding the Third Proportional to 490,614,430 and 1,076,555,047

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Solution

The third proportional to 490,614,430 and 1,076,555,047 is: 2,362,284,307.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,614,430 : 1,076,555,047 = 1,076,555,047 : x
  2. Step 2: Convert to fraction form
    490,614,430/1,076,555,047 = 1,076,555,047/x
  3. Step 3: Cross multiply
    490,614,430x = 1,076,555,047 × 1,076,555,047
  4. Step 4: Simplify right side
    490,614,430x = 1,158,970,769,221,172,224
  5. Step 5: Solve for x
    x = 1,158,970,769,221,172,224/490,614,430
  6. Step 6: Final answer
    x = 2,362,284,307.91

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