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Finding the Third Proportional to 2,270,688 and 4,835,670

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Solution

The third proportional to 2,270,688 and 4,835,670 is: 10,298,070.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,270,688 : 4,835,670 = 4,835,670 : x
  2. Step 2: Convert to fraction form
    2,270,688/4,835,670 = 4,835,670/x
  3. Step 3: Cross multiply
    2,270,688x = 4,835,670 × 4,835,670
  4. Step 4: Simplify right side
    2,270,688x = 23,383,704,348,900
  5. Step 5: Solve for x
    x = 23,383,704,348,900/2,270,688
  6. Step 6: Final answer
    x = 10,298,070.17

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.