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Finding the Third Proportional to 664,610 and 1,457,878

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Solution

The third proportional to 664,610 and 1,457,878 is: 3,197,978.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,610 : 1,457,878 = 1,457,878 : x
  2. Step 2: Convert to fraction form
    664,610/1,457,878 = 1,457,878/x
  3. Step 3: Cross multiply
    664,610x = 1,457,878 × 1,457,878
  4. Step 4: Simplify right side
    664,610x = 2,125,408,262,884
  5. Step 5: Solve for x
    x = 2,125,408,262,884/664,610
  6. Step 6: Final answer
    x = 3,197,978.16

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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.