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Finding the Third Proportional to 517,082,194 and 1,105,828,004

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Solution

The third proportional to 517,082,194 and 1,105,828,004 is: 2,364,915,266.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,082,194 : 1,105,828,004 = 1,105,828,004 : x
  2. Step 2: Convert to fraction form
    517,082,194/1,105,828,004 = 1,105,828,004/x
  3. Step 3: Cross multiply
    517,082,194x = 1,105,828,004 × 1,105,828,004
  4. Step 4: Simplify right side
    517,082,194x = 1,222,855,574,430,624,000
  5. Step 5: Solve for x
    x = 1,222,855,574,430,624,000/517,082,194
  6. Step 6: Final answer
    x = 2,364,915,266.12

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.