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Finding the Third Proportional to 1,119,401 and 1,688,469

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Solution

The third proportional to 1,119,401 and 1,688,469 is: 2,546,833.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,119,401 : 1,688,469 = 1,688,469 : x
  2. Step 2: Convert to fraction form
    1,119,401/1,688,469 = 1,688,469/x
  3. Step 3: Cross multiply
    1,119,401x = 1,688,469 × 1,688,469
  4. Step 4: Simplify right side
    1,119,401x = 2,850,927,563,961
  5. Step 5: Solve for x
    x = 2,850,927,563,961/1,119,401
  6. Step 6: Final answer
    x = 2,546,833.14

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.