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Finding the Third Proportional to 648,369 and 1,422,846

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Solution

The third proportional to 648,369 and 1,422,846 is: 3,122,436.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,369 : 1,422,846 = 1,422,846 : x
  2. Step 2: Convert to fraction form
    648,369/1,422,846 = 1,422,846/x
  3. Step 3: Cross multiply
    648,369x = 1,422,846 × 1,422,846
  4. Step 4: Simplify right side
    648,369x = 2,024,490,739,716
  5. Step 5: Solve for x
    x = 2,024,490,739,716/648,369
  6. Step 6: Final answer
    x = 3,122,436.05

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.