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Finding the Third Proportional to 1,230,106 and 2,662,388

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Solution

The third proportional to 1,230,106 and 2,662,388 is: 5,762,356.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,230,106 : 2,662,388 = 2,662,388 : x
  2. Step 2: Convert to fraction form
    1,230,106/2,662,388 = 2,662,388/x
  3. Step 3: Cross multiply
    1,230,106x = 2,662,388 × 2,662,388
  4. Step 4: Simplify right side
    1,230,106x = 7,088,309,862,544
  5. Step 5: Solve for x
    x = 7,088,309,862,544/1,230,106
  6. Step 6: Final answer
    x = 5,762,356.95

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.