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Finding the Third Proportional to 296,887,781 and 614,140,906

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Solution

The third proportional to 296,887,781 and 614,140,906 is: 1,270,409,483.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,887,781 : 614,140,906 = 614,140,906 : x
  2. Step 2: Convert to fraction form
    296,887,781/614,140,906 = 614,140,906/x
  3. Step 3: Cross multiply
    296,887,781x = 614,140,906 × 614,140,906
  4. Step 4: Simplify right side
    296,887,781x = 377,169,052,422,500,864
  5. Step 5: Solve for x
    x = 377,169,052,422,500,864/296,887,781
  6. Step 6: Final answer
    x = 1,270,409,483.18

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.