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Finding the Third Proportional to 948,457 and 1,446,322

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Solution

The third proportional to 948,457 and 1,446,322 is: 2,205,526.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    948,457 : 1,446,322 = 1,446,322 : x
  2. Step 2: Convert to fraction form
    948,457/1,446,322 = 1,446,322/x
  3. Step 3: Cross multiply
    948,457x = 1,446,322 × 1,446,322
  4. Step 4: Simplify right side
    948,457x = 2,091,847,327,684
  5. Step 5: Solve for x
    x = 2,091,847,327,684/948,457
  6. Step 6: Final answer
    x = 2,205,526.80

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.