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Finding the Third Proportional to 664,391 and 1,030,728

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Solution

The third proportional to 664,391 and 1,030,728 is: 1,599,058.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,391 : 1,030,728 = 1,030,728 : x
  2. Step 2: Convert to fraction form
    664,391/1,030,728 = 1,030,728/x
  3. Step 3: Cross multiply
    664,391x = 1,030,728 × 1,030,728
  4. Step 4: Simplify right side
    664,391x = 1,062,400,209,984
  5. Step 5: Solve for x
    x = 1,062,400,209,984/664,391
  6. Step 6: Final answer
    x = 1,599,058.70

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.