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Finding the Third Proportional to 948,477 and 1,387,216

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Solution

The third proportional to 948,477 and 1,387,216 is: 2,028,903.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    948,477 : 1,387,216 = 1,387,216 : x
  2. Step 2: Convert to fraction form
    948,477/1,387,216 = 1,387,216/x
  3. Step 3: Cross multiply
    948,477x = 1,387,216 × 1,387,216
  4. Step 4: Simplify right side
    948,477x = 1,924,368,230,656
  5. Step 5: Solve for x
    x = 1,924,368,230,656/948,477
  6. Step 6: Final answer
    x = 2,028,903.42

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.