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Finding the Third Proportional to 1,663,160 and 2,317,201

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Solution

The third proportional to 1,663,160 and 2,317,201 is: 3,228,444.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,663,160 : 2,317,201 = 2,317,201 : x
  2. Step 2: Convert to fraction form
    1,663,160/2,317,201 = 2,317,201/x
  3. Step 3: Cross multiply
    1,663,160x = 2,317,201 × 2,317,201
  4. Step 4: Simplify right side
    1,663,160x = 5,369,420,474,401
  5. Step 5: Solve for x
    x = 5,369,420,474,401/1,663,160
  6. Step 6: Final answer
    x = 3,228,444.93

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.