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Finding the Third Proportional to 664,242 and 1,057,454.25

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Solution

The third proportional to 664,242 and 1,057,454.25 is: 1,683,436.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,242 : 1,057,454.25 = 1,057,454.25 : x
  2. Step 2: Convert to fraction form
    664,242/1,057,454.25 = 1,057,454.25/x
  3. Step 3: Cross multiply
    664,242x = 1,057,454.25 × 1,057,454.25
  4. Step 4: Simplify right side
    664,242x = 1,118,209,490,843.06
  5. Step 5: Solve for x
    x = 1,118,209,490,843.06/664,242
  6. Step 6: Final answer
    x = 1,683,436.90

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Why These Related Problems?

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