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Finding the Third Proportional to 498,475,062 and 1,090,769,004

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Solution

The third proportional to 498,475,062 and 1,090,769,004 is: 2,386,833,586.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,475,062 : 1,090,769,004 = 1,090,769,004 : x
  2. Step 2: Convert to fraction form
    498,475,062/1,090,769,004 = 1,090,769,004/x
  3. Step 3: Cross multiply
    498,475,062x = 1,090,769,004 × 1,090,769,004
  4. Step 4: Simplify right side
    498,475,062x = 1,189,777,020,087,152,128
  5. Step 5: Solve for x
    x = 1,189,777,020,087,152,128/498,475,062
  6. Step 6: Final answer
    x = 2,386,833,586.65

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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.