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Finding the Third Proportional to 665,662 and 1,455,740

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Solution

The third proportional to 665,662 and 1,455,740 is: 3,183,566.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,662 : 1,455,740 = 1,455,740 : x
  2. Step 2: Convert to fraction form
    665,662/1,455,740 = 1,455,740/x
  3. Step 3: Cross multiply
    665,662x = 1,455,740 × 1,455,740
  4. Step 4: Simplify right side
    665,662x = 2,119,178,947,600
  5. Step 5: Solve for x
    x = 2,119,178,947,600/665,662
  6. Step 6: Final answer
    x = 3,183,566.06

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.