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Finding the Third Proportional to 664,468 and 1,559,946

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Solution

The third proportional to 664,468 and 1,559,946 is: 3,662,225.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,468 : 1,559,946 = 1,559,946 : x
  2. Step 2: Convert to fraction form
    664,468/1,559,946 = 1,559,946/x
  3. Step 3: Cross multiply
    664,468x = 1,559,946 × 1,559,946
  4. Step 4: Simplify right side
    664,468x = 2,433,431,522,916
  5. Step 5: Solve for x
    x = 2,433,431,522,916/664,468
  6. Step 6: Final answer
    x = 3,662,225.30

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.