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Finding the Third Proportional to 664,212 and 1,057,410

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Solution

The third proportional to 664,212 and 1,057,410 is: 1,683,372.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,212 : 1,057,410 = 1,057,410 : x
  2. Step 2: Convert to fraction form
    664,212/1,057,410 = 1,057,410/x
  3. Step 3: Cross multiply
    664,212x = 1,057,410 × 1,057,410
  4. Step 4: Simplify right side
    664,212x = 1,118,115,908,100
  5. Step 5: Solve for x
    x = 1,118,115,908,100/664,212
  6. Step 6: Final answer
    x = 1,683,372.04

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.