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Finding the Third Proportional to 1,830,116 and 2,640,166

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Solution

The third proportional to 1,830,116 and 2,640,166 is: 3,808,762.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,830,116 : 2,640,166 = 2,640,166 : x
  2. Step 2: Convert to fraction form
    1,830,116/2,640,166 = 2,640,166/x
  3. Step 3: Cross multiply
    1,830,116x = 2,640,166 × 2,640,166
  4. Step 4: Simplify right side
    1,830,116x = 6,970,476,507,556
  5. Step 5: Solve for x
    x = 6,970,476,507,556/1,830,116
  6. Step 6: Final answer
    x = 3,808,762.13

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.