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Finding the Third Proportional to 2,558,088 and 5,470,640

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Solution

The third proportional to 2,558,088 and 5,470,640 is: 11,699,324.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,558,088 : 5,470,640 = 5,470,640 : x
  2. Step 2: Convert to fraction form
    2,558,088/5,470,640 = 5,470,640/x
  3. Step 3: Cross multiply
    2,558,088x = 5,470,640 × 5,470,640
  4. Step 4: Simplify right side
    2,558,088x = 29,927,902,009,600
  5. Step 5: Solve for x
    x = 29,927,902,009,600/2,558,088
  6. Step 6: Final answer
    x = 11,699,324.66

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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.